Lesson: Remainder of an Alternating Series AP Calculus BC

Mathematics

In this lesson, we will learn how to find the error when approximating an alternating series by a finite term of the series.

Video

17:51

Sample Question Videos

04:30

Worksheet: 14 Questions • 1 Video

Q1:

Calculate the partial sum for the least terms that guarantees that the sum of the first terms of the alternating series differs from the infinite sum by at most. Give your answer approximated to six decimal places.

Q2:

Consider the alternating series .

Find the value of the first that guarantees that the sum of the first terms of the series differs from the infinite sum by at most.

Calculate the partial sum for the terms in the previous part. Give your answer to five decimal places.

Q3:

Consider the alternating series .

Find the value of that guarantees that the sum of the first terms of the series differs from the infinite sum by at most.

Calculate the partial sum for the terms in the previous part. Give your answer to five decimal places.

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