10. Infinite Sequences and Series

Alternating Series Error Bound — Quiz

Test your understanding of alternating series error bound with 5 practice questions.

Practice Questions

Question 1

What condition must an alternating series satisfy in order for the Alternating Series Error Bound to apply?

Question 2

For an alternating series, what is the greatest possible error when a student uses the partial sum $S_5$ to approximate the full sum?

Question 3

Which statement best describes the Alternating Series Error Bound?

Question 4

An alternating series has terms with magnitudes $b_n=\frac{1}{n}$. What can be said about the error when using $S_4$ as an approximation?

Question 5

A convergent alternating series has partial sum $S_{10}$. Which expression gives an upper bound for the error in using $S_{10}$?