Question

In an alternating series, the alternating error tends to:

A) Overestimate
B) Underestimate
C) Remain constant
D) Fluctuate randomly

Answer 1

The alternating error in an alternating series tends to fluctuate randomly. The alternating error refers to the difference between the sum of the series and the actual value it is approximating.

Step-by-step explanation:

In an alternating series, the alternating error tends to fluctuate randomly.

An alternating series is a series in which the terms alternate in sign, meaning that the terms are either positive or negative. The alternating error refers to the difference between the sum of the series and the actual value it is approximating.

Since the terms in an alternating series can be positive or negative, the alternating error can be positive or negative as well, causing it to fluctuate randomly.