# a1=200,an+1=an−10a1=200,an+1=an-10 Write the first 5 terms of the sequence defined recursively.

**JULIE OF THE WOLVES**

**Where did Miyax’s father live at the end of the book Julie of the Wolves?**

The simple answer to your question is that Miyax’s father, Kapugen, lives in the town of Kangik at the end of the novel. The longer answer to your question involves Kapugen’s history with his…

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**REFERENCE**

**Working conditions for all workers, men, women, and children were terrible during the Industrial…**

During the Industrial Revolution, manufacturing developments were way ahead of ethical considerations. The workers, often times not only men and women, but also children, were treated as little…

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**TO KILL A MOCKINGBIRD**

**Why is Aunt Alexandra so racist? What are some examples that show her racism in To Kill a…**

Aunt Alexandra is racist because she believes in tradition. She calls her brother racist names for defending Tom Robinson. Aunt Alexandra is a traditionalist, and in Maycomb that means she is a…

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**MACBETH**

**What is a good monologue given by the character Malcolm in Macbeth?**

The character of Malcolm has a few good monologues in Macbeth, although some of them are the most cryptic and ambiguous monologues in the entire play (specifically, Malcolm’s monologues in Act 4)….

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**THE BOY IN THE STRIPED PAJAMAS**

**In The Boy In the Striped Pajamas, how does Gretel explain what they see outside of their window?**

In Chapter 4, Bruno and Gretel are staring out of Bruno’s window looking at the Auschwitz concentration camp and wondering where they are. The two children carry on a conversation in an attempt to…

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**MATH**

**Errol uses 1/3 can of wet dog food for his dog, muddy, each day. how many servings will he get…**

Errol uses 1/3 of a can of dog food per day, which means he uses an entire can in three days’ time. That means he gets three servings per can. If he has five cans, he will get 15 servings because 3…

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**SCIENCE**

**What are the differences between specific heat capacity and thermal capacity?**

Specific heat capacity or specific heat is defined as the amount of heat required to raise the temperature of 1 g of a substance by 1 degree Celsius. Thermal capacity or heat capacity, on the other…

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**MATH**

**Amanda has 4 scores recorded in math for the current nine weeks grading period. She has received…**

Hello! Imagine that the fifth assignment is done for nn points from the maximum 80. Then the total number of points Amanda has received is 14+30+7+85+n=136+n.14+30+7+85+n=136+n. The maximum possible number of…

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**HISTORY**

**How did the Pope describe the period after the fall of Rome?**

In the years leading up to the fall of Rome, many ordinary people dropped out of conventional society. In the era after Constantine, the ruler who converted to Christianity and declared religious…

**TO KILL A MOCKINGBIRD**

**In the novel To Kill a Mockingbird, what are some quotes that show Jem losing his innocence?**

At the beginning of Chapter 21, Jem has confidence that the jury will acquit Tom Robinson. He mentions to Reverend Sykes that there is no way the jury can convict Tom Robinson based on the…

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**THE LITTLE PRINCE**

**In what ways do the children start to think as adults in Chapter 1 of The Little Prince?**

In the first chapter of The Little Prince, the narrator describes an experience he had at the age of six, when he made two drawings and showed them to grown-ups. The adults could not understand the…

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**MACBETH**

**How does Macbeth’s “dagger soliloquy” in Act 2, scene 1 affect the atmosphere in this particular…**

In order to correctly address this question, one has to understand the concept of atmosphere in its literate context. Atmosphere, in literature, “refers to the feeling, emotion, or mood a writer…

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**THE GIVER**

**In Lois Lowry’s The Giver, what are some jobs in the community that are more respected than others?**

In chapter two of Lois Lowry’s The Giver, there is an extensive discussion about assignments to jobs as Jonas prepares to receive his soon at the Ceremony of Twelves. His father is a Nurturer, and…

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**SCIENCE**

**What would happen to a piece of potato in distilled water, 0.3 and 0.6 molar starch solution?**

The distilled water is hypotonic to the cells of the potato because it has a lower solute concentration. As a result, water will flow into the cells of the potato by osmosis and they will swell and…

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**RAYMOND’S RUN**

**Describe Squeaky’s attitude towards phoniness and girlishness in “Raymond’s Run” by Toni Cade…**

In “Raymond’s Run” by Toni Cade Bambara, Squeaky’s attitudes towards phoniness and girlishness are the same. She does not like either! She is irritated by Cynthia Procter, who, according to…

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**ANIMAL FARM**

**If Mollie was a person, what would she be like?**

Thank you for asking such a fun question! As I’m sure you know, Animal Farm is a satire and all the characters and events were written to satirize the Russian Revolution that took place between…

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**HARRISON BERGERON**

**In Kurt Vonnegut’s “Harrison Bergeron,” how has equality been achieved?**

In Kurt Vonnegut’s “Harrison Bergeron,” equality has been achieved by reducing each citizen to the social lowest common denominator. Specifically, this has been done through the passage of the…

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**A CHRISTMAS CAROL**

**In A Christmas Carol, was Belle rich?**

Whether or not you find Belle to be “rich” depends on your definition of the term. If you are referring to money, we don’t hear much about her financial situation either way. The fact that she…

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**WALT WHITMAN**

**“The spotted hawk swoops by” completes Whitman’s poem, “Song Of Myself.” What do lines 7-16…**

In Walt Whitman’s poem “Song of Myself,” lines 7-16 introduce several important themes that will reoccur frequently. For instance, when Whitman references the many past generations of family…

2 educator answers

**SCIENCE**

**What will happen when a magnet is placed near a pile of steel paper clips?**

Magnets generate magnetic field and are able to influence magnetic materials. It pulls on magnetic materials and may repel or attract another magnet (depending upon which poles are brought closer…

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**PRIDE AND PREJUDICE**

**Discuss social class in Pride and Prejudice.**

Social class is a prominent theme in Austen’s Pride and Prejudice in two ways. First of all, social class is used to certain by characters to represent their inflated sense of self and superiority….

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**FAHRENHEIT 451**

**In Fahrenheit 451, after finding the green bullet, what threat did Beatty announce?**

Beatty threatens to find the person on the other end of the radio. Montag and Faber make arrangements to hear each other through a special kind of seashell radio. Montag calls it a bullet because…

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**THE SLAVE DANCER**

**How many times a week did the slaves have to dance in The Slave Dancer?**

In the book The Slave Dancer by Paula Fox, Jessie is forced to play his fife to make the slaves dance every other day. After the slaves are brought onto the ship, Jessie is forced to make the…

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**TWO KINDS**

**For the stories “Two Kinds” and “Everyday Use,” write about the physical objects that become the…**

In “Two Kinds” by Amy Tan and “Everyday Use” by Alice Walker, the authors use physical objects as focal points of the conflicts between the mothers and their daughters. In “Two Kinds”…

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**CARRY ON, MR. BOWDITCH**

**What is a summary of Carry On, Mr. Bowditch?**

Carry On, Mr. Bowditch by Jean Lee Latham is a novel for children based on the life of a real person, Nathaniel Bowditch, who was born on 26 March 1773 in Salem, Massachusetts and died on 16 March…

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**RIKKI-TIKKI-TAVI**

**What is the motto of the mongoose family? List three things that Rikki does to live up to the motto.**

The motto of the entire mongoose family is “Run and find out.” Although Rikki is just a young mongoose, he naturally follows his curiosity and then uses his skill in killing snakes to keep the…

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**AS FOR ME AND MY HOUSE**

**What is the role of women in As For Me and My House?**

As For Me and My House by Canadian author Sinclair Ross was first published in 1941 and reflects the position of women in Canadian society during the period just before the second world war. Set…

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**TERTULLIAN**

**What works did Tertullian write?**

Quintus Septimius Florens Tertullianus, or Tertullian was born ca. 155 AD and died ca. 240 AD. According to Eusebius of Caesarea he was raised in Carthage and may have had advanced rhetorical and…

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**THE DEVIL AND TOM WALKER**

**What does the phrase and imagery “rotten to the core” symbolize in “The Devil and Tom Walker”?**

Tom looked in the direction that the stranger pointed, and beheld one of the great trees, fair and flourishing without, but rotten at the core… The quote is slightly modified from its more…

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**MATH**

**∑n=1250(1000−n)∑n=1250(1000-n) Find the partial sum.**

Given ∑n=1250(1000−n)∑n=1250(1000-n) The sum for an arithmetic sequence is Sn=n2(a1+an)Sn=n2(a1+an) The number of terms for the sequence is n=250. The first term of the sequence is a1=1000−1=999.a1=1000-1=999. The last…

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**MATH**

**∑n=1500(n+8)∑n=1500(n+8) Find the partial sum.**

Given ∑n=1500(n+8)∑n=1500(n+8) The sum for an arithmetic sequence is sn=n2(a1+an)sn=n2(a1+an) The number of terms n is 500. The first term a1=1+8=9.a1=1+8=9. The last term an=500+8=508.an=500+8=508. Sn=5002(9+508)Sn=5002(9+508)…

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**MATH**

**∑n=51100n−∑n=150n∑n=51100n-∑n=150n Find the partial sum.**

∑n=51100n−∑n=150n∑n=51100n-∑n=150n The sum formula for an arithmetic sequence is Sn=n2(a1+an)Sn=n2(a1+an) ∑n=51100n=502(51+100)=25(151)=3775∑n=51100n=502(51+100)=25(151)=3775 ∑n=150n=502(1+50)=25(51)=1275∑n=150n=502(1+50)=25(51)=1275…

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**MATH**

**∑n=1130n−∑n=110n∑n=1130n-∑n=110n Find the partial sum.**

∑n=1130n−∑n=110n∑n=1130n-∑n=110n The sum formula for an arithmetic sequence is Sn=n2(a1+an)Sn=n2(a1+an) S20=202(11+30)=10(41)=410S20=202(11+30)=10(41)=410 S10=102(1+10)5(11)=55S10=102(1+10)5(11)=55

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**MATH**

**∑n=51100(7n)∑n=51100(7n) Find the partial sum.**

∑511007n∑511007n The arithmetic sum formula is Sn=n2(a1+an)Sn=n2(a1+an) The number of terms in the sequence is n=50. The first term in the sequence a1=7(51)=357.a1=7(51)=357. The last term in the sequence…

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**MATH**

**∑n=150n∑n=150n Find the partial sum.**

The formula to find the sum of an arithmetic sequence is Sn=n2(a1+an)Sn=n2(a1+an) S50=502(1+50)S50=502(1+50) S50=25(51)S50=25(51) S50=1275S50=1275

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**MATH**

**a1=0.375,an+1=an+0.27a1=0.375,an+1=an+0.27 Find the sum of the integers from -100 to 30.**

Given: a1=0.375,an+1=an+0.27a1=0.375,an+1=an+0.27 The equation for an arithmetic sequence is an=a1+(n−1)dan=a1+(n-1)d an=0.375+(n−1)(0.27)an=0.375+(n-1)(0.27) an=0.375+0.27n−.27an=0.375+0.27n-.27 an=0.27n−.105an=0.27n-.105 ∑n=−10030.27n+.105∑n=-10030.27n+.105…

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**MATH**

**a1=0.375,an+1=an+0.26a1=0.375,an+1=an+0.26 Find the sum of the first 100 positive odd integers.**

The positive integers are 1,3,5,7,9,………. So the first term a1a1 is 1 and common difference d is 2 and number of terms n is 100. Sn=n2(a1+an)Sn=n2(a1+an) where SnSn is the sum of the n terms of…

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**MATH**

**a1=0.375,an+1=an+0.25a1=0.375,an+1=an+0.25 Write the first 5 terms of the sequence defined…**

a1=0.375a1=0.375 an+1=an+0.25an+1=an+0.25 a1+1=a2=a1+0.25=0.375+0.25=.625a1+1=a2=a1+0.25=0.375+0.25=.625 a2+1=a3=a2+0.25=6.25+0.25=.875a2+1=a3=a2+0.25=6.25+0.25=.875 a3+1=a4=a3+0.25=.875+0.25=1.125a3+1=a4=a3+0.25=.875+0.25=1.125 a4+1=a5=a4+0.25=1.125+0.25=1.375a4+1=a5=a4+0.25=1.125+0.25=1.375 The…

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**MATH**

**a1=58,an+1=an−18a1=58,an+1=an-18 Write the first 5 terms of the sequence defined recursively.**

The given recursive formula of the sequence is: a1=58a1=58 an+1=an−18an+1=an-18 To solve for the second term, plug-in n=1 and a1=58a1=58 . a1+1=a1−18a1+1=a1-18 a2=58−18=48=12a2=58-18=48=12 To solve for the…

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**MATH**

**a1=200,an+1=an−10a1=200,an+1=an-10 Write the first 5 terms of the sequence defined recursively.**

a1=200a1=200 an+1=an−10an+1=an-10 a2=a1−10a2=a1-10 plug in the value of a_1 in above, a2=200−10a2=200-10 a2=190a2=190 a3=a2−10a3=a2-10 a3=190−10a3=190-10 a3=180a3=180 a4=a3−10a4=a3-10 a4=180−10a4=180-10 a4=170a4=170 a5=a4−10a5=a4-10 a5=170−10a5=170-10…

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**MATH**

**a1=15,an+1=an+4a1=15,an+1=an+4 Write the first 5 terms of the sequence defined recursively.**

a1=15a1=15 an+1=an+4an+1=an+4 The first term of the sequence is given and let’s start with n=1 to find the other terms. a2=a1+4a2=a1+4 a2=15+4a2=15+4 a2=19a2=19 a3=a2+4a3=a2+4 a3=19+4a3=19+4 a3=23a3=23 a4=a3+4a4=a3+4…

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**MATH**

**a3=19,a15=−1.7a3=19,a15=-1.7 Write the first 5 terms of the arithmetic sequence.**

a3=19a3=19 a15=−1.7a15=-1.7 Let a1a1 be the first term and d be the common difference of the sequence. a15=a1+14da15=a1+14d a1+14d=−1.7a1+14d=-1.7 ———- (1) a3=a1+2da3=a1+2d a1+2d=19a1+2d=19 ———– (2)…

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**MATH**

**a8=26,a12=42a8=26,a12=42 Write the first 5 terms of the arithmetic sequence.**

Given a8=26,a12=42a8=26,a12=42 The equation for an arithmetic sequence is an=a1+(n−1)dan=a1+(n-1)d a8=a1+(8−1)da8=a1+(8-1)d 26=a1+7d26=a1+7d Equation 1: 26=a1+7d26=a1+7d an=a1+(n−1)dan=a1+(n-1)d a12=a1+(12−1)da12=a1+(12-1)d 42=a1+11d42=a1+11d…

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**MATH**

**a4=16,a10=46a4=16,a10=46 Write the first 5 terms of the arithmetic sequence.**

a4=16a4=16 a10=46a10=46 To determine the first five terms of this arithmetic sequence, consider its nth term formula which is: an=a1+(n−1)dan=a1+(n-1)d To apply this, plug-in the given nth terms. Plugging in…

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**MATH**

**a1=2,a12=46a1=2,a12=46 Write the first 5 terms of the arithmetic sequence.**

Given a1=2,a12=46a1=2,a12=46 Use the given information and the equation of the arithmetic sequence to solve for the common difference, d. an=a1+(n−1)dan=a1+(n-1)d a12=2+(12−1)da12=2+(12-1)d 46=2+11d46=2+11d 44=11d44=11d d=4d=4…

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**MATH**

**a1=16.5,d=0.25a1=16.5,d=0.25 Write the first 5 terms of the arithmetic sequence.**

Given: a1=16.5,d=−.25a1=16.5,d=-.25 a1=16.5a1=16.5 a2=16.5+.25=16.75a2=16.5+.25=16.75 a3=16.75+.25=17a3=16.75+.25=17 a4=17+.25=17.25a4=17+.25=17.25 a5=17.25+.25=17.5a5=17.25+.25=17.5

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**MATH**

**a1=−135,d=−23a1=-135,d=-23 Write the first 5 terms of the arithmetic sequence.**

d=−23=−1015d=-23=-1015 is the common difference. This means that each next term is the previous term plus d.d. Therefore the terms are a1=−135a1=-135 (given), a2=a1+d=−135−23=−3915−1015=−4915,a2=a1+d=-135-23=-3915-1015=-4915,…

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**MATH**

**a1=5,d=−34a1=5,d=-34 Write the first 5 terms of the arithmetic sequence.**

d=−34d=-34 is the common difference. This means that each next term is the previous term plus d.d. Therefore the terms are a1=5(given),a1=5(given), a2=a1+d=5−34=204−34=174,a2=a1+d=5-34=204-34=174,…

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**MATH**

**a1=5,d=6a1=5,d=6 Write the first 5 terms of the arithmetic sequence.**

Given: a1=5,d=6a1=5,d=6 a1=5a1=5 a2=5+6=11a2=5+6=11 a3=11+6=17a3=11+6=17 a4=17+6=23a4=17+6=23 a5=23+6=29a5=23+6=29

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**MATH**

**a5=190,a10=115a5=190,a10=115 Find a formula for anan for the arithmetic sequence.**

We have to find the first term a1a1 and the common difference d,d, then the general formula will be an=a1+(n−1)d.an=a1+(n-1)d. The difference between a10a10 and a5a5 is equal to 5 common differences,…

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