♾️ap calculus ab/bc review

key term - Alternating Series

Citation:

Definition

An alternating series is a series in which the signs of the terms alternate between positive and negative.

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Subjects (1)

Calculus II

Practice Questions (9)

What form do terms of an alternating series have?
For an alternating series, if the error bound is 0.032, what can you say about the approximation?
What is the error bound for the alternating series with the first term (-1)^n/n^2 and n terms given by the series sum (1/n^2)?
For the alternating series (-1)^n/(2n+1), what is the error bound for the approximation obtained by using the first 5 terms?
What is the error bound for the alternating series (-1)^n/n!, when approximated using the first 4 terms?
How does the error bound change if the terms of an alternating series converge to zero more quickly?
For the alternating series (-1)^n*(n^2 + 1)/(n^3 + 3), what is the error bound for the approximation obtained by using the first 2 terms?
For the alternating series (-1)^n/(n^3 + 1), what is the error bound for the approximation obtained by using the first 3 terms?
What is the error bound for the alternating series (-1)^n/(3n^2 - 2n), when approximated using the first 6 terms?