114 Answered Questions for the topic Series

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

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

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

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

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

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

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

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

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

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 :)
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
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
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

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

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

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

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

converges or diverges?

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

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

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
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.
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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