Question

Determine whether the following incite geometric series diverges or converges. If the series converges, state the sum. 8 + 16 + 32 + •••

Answer 1

Given the series: 8 + 16 + 32 + ....

So, in this series, r is:

$r=2$

In other words, we're doubling each term, so our common ratio is 2.

And 2 > 1, That means the series diverges and its sum is infinitely large. So we can't find the sum.

Answer:

B. The series diverges