Question

Classify the series S =5+2–1-4-... as arithmetic or geometric. Determine whether the series is convergent or divergent.O A. arithmetic, convergentO B. arithmetic, divergentOC. geometric, convergentO D. geometric, divergent

Answer 1

The infinite arithmetic series is divergent, for all infinite arithmetic series

Since the given series is

`S_n=5+2-1-4\ldots\ldots\ldots\ldots\ldots`

Since 2 - 5 = -3, -1 - 2 = -3, -4 - (-1) = -3

Then the series is arithmetic with common difference -3

Since it is infinite series

Then it is arithmetic, divergent

The answer is B