Determine the number of terms needed to obtain the sum of to within 10^-6. A) 20 B) 55 C) 209 D) 2,250,001

Question

Quizplus · Accepted Answer

The sum consists of nine hexadecimal digits, which means each term will be of the form 1e16 or smaller. Thus, if we add up n terms, the error will be at most n * 1e16. We need to find n such that n * 1e16 <= 10^(-6), which simplifies to n <= 10^(-22/16) = 10^(-11/8) = 208.734. Therefore, we need at least 209 terms. Choice C is the only option that satisfies this condition, so it must be the correct choice.

Determine the Number of Terms Needed to Obtain the Sum