114 Answered Questions for the topic Series

20d

How to find the common ratio, the common difference and the first four terms of a geometric sequence and a arithmetic sequences, if
The first term of the geometric sequence is 4, while 2 is the first term ofan arithmetic sequence.And, if the common ratio of the geometric sequence equals the common difference of the arithmetic... more
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24d

Let a1, a2, a3, ... be a non-constant arithmetic sequence. Suppose that a4, a7, a12 form a geometric sequence. If a7 = 30, what is $a_1$?
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05/27/22

Without calculating, determine the following...
You are given two sequences tn = 4 + (n –1)7 and pn = 4(2)n –1. Without calculating, which term is bigger t534 or p534? Why?Please answer in an organized and neat/easy to read format. And please... more
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05/26/22

Determine the value of x that makes 2, 6, 5x - 2, ... a geometric sequence.
Determine the value of x that makes 2, 6, 5x - 2, ... a geometric sequence.Please answer in an organized and neat/easy to read format. And please only include the information that would be... more
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05/26/22

In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled. Determine the following...
In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled. The possible fares charged, in dollars, in this city, can be represented by the recursion... more
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05/26/22

In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled. Determine the following...
In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled. The possible fares charged, in dollars, in this city, can be represented by the recursion... more
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05/26/22

In a triangular pile of logs, the top row contains one log. Each row below the top row contains one log more than the row above it. If the bottom row contains 435 logs, how many logs are in the pile?
In a triangular pile of logs, the top row contains one log. Each row below the top row contains one log more than the row above it. If the bottom row contains 435 logs, how many logs are in the... more
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05/26/22

In a triangular pile of logs, the top row contains one log. Each row below the top row contains one log more than the row above it. If the bottom row contains 435 logs, how many logs are in the pile?
In a triangular pile of logs, the top row contains one log. Each row below the top row contains one log more than the row above it. If the bottom row contains 435 logs, how many logs are in the... more
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05/26/22

Without calculating, determine the following...
You are given two sequences tn = 4 + (n –1)7 and pn = 4(2)n –1. Without calculating, which term is bigger t534 or p534? Why?Please answer in an organized and neat/easy to read format. And please... more
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Expert Answers •1

05/26/22

Determine the value of x that makes 2, 6, 5x - 2, ... a geometric sequence.
Determine the value of x that makes 2, 6, 5x - 2, ... a geometric sequence.Please answer in an organized and neat/easy to read format. And please only include the information that would be... more
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05/26/22

Without calculating, determine the following...
You are given two sequences tn = 4 + (n –1)7 and pn = 4(2)n –1. Without calculating, which term is bigger t534 or p534? Why?Please answer in an organized and neat way! Thank you :)
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Series Math Calculus

04/04/22

Find the interval of convergence question.
Find the interval of convergence for the power series∑n=0∞ ( (−2)^n / n! ) * (x−3)nGive your answer using interval notation. If you need to use INF. If there is only one point in the interval of... more
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Series Math Calculus

03/30/22

Interval of convergence problem
Find the interval of convergence for the power series.∑n=0∞ nx^nGive your answer using interval notation. If you need to use INF. If there is only one point in the interval of convergence, the... more
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Series Math Calculus

03/30/22

Find the interval of convergence
Find the interval of convergence for the power series∑n=1∞ ( 2^n / n )(x^n)Give your answer using interval notation. If you need to use  INF. If there is only one point in the interval of... more
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03/02/22

Counting Principle
When ordering the Kids' Lunch at Burger Universe, the customer must choose a size, whether or not to have cheese, a type of bun, a side order, and a type of fruit drink.Here are the possibilities... more
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03/02/22

Counting principle
Hale Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member.Here are the positions and the... more
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02/26/22

Hong is studying the growth of a particular type of plant. He is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels he's testing for each.
GROWTH FACTOR LEVELSLIGHTNING Low, Medium, HighAGE 1... more
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02/25/22

For the dinner special at a restaurant, the customer must choose a salad, an entree, a side dish, and a dessert. Here are the items to choose from.
Choice  Salad   Southwest, Garden, Caesar   Entree   Grilled chicken, Pot roast, T-bone steak, Lamb, Roast turkey   Side dish   Baked potato, Pinto beans, French... more
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11/22/21

How do you tell if series tan(n) and series e^(-2/n) converge/diverge using the divergence test?
Hello! I can't figure out whether series An = tan(n) or series An = e-2/n converge or diverge using the divergence test. I know that tanx doesn't approach anything, but I'm also confused on that.... more
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10/26/21

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
asubn = (4^(n+2))/(7^n)
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10/05/21

converges or diverges?

Determine whether the series converges or divergessum from n=1 to infinity ((e^(1/n))/n)
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07/22/21

Can anyone walk me through this problem?
Apply integration to the expansion 1/1+x = ∑∞n=1 (-1)n xn = 1-x2 - x3 + ... to show that for -1< x< 1, ln (1+x) =∑∞n=1 ((-1)n-1 xn ) / n
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07/10/21

Series and sequences
Suppose that (b_n) is a sequence of real numbers such that:(b_n) = (17, -21, 4, -2, 1...) and lim of b_n as n approaches ∞ equals 4Find s = ∞ ∑ n=1 (b_(n+1) − b_(n))If the series does not converge,... more
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Series Precalculus

05/03/21

Write the series with Sigma Notation. 1+(-1/4)+1/9+(-1/16)+...+1/576
I know that the upper bound= 1/576 and the lower bound=1 but I am struggling to write the expression part because I can't find a common ratio or common difference.
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Series Calculus

04/27/21

Calculus 2 , series

Find the maclaurin series for the function : f(x) = x^2 . e^ -3x
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