Question

4.

Does the following infinite series converge or diverge? Explain your answer.
7 + 28 + 112 + 448 +...
It converges; it does not have a sum.
6
It diverges; it has a sum.
It diverges; it does not have a sum.
It converges; it has a sum.

Answer 1

Diverges and doesn't have sum

Answer 2

It diverges; it does not have a sum.

Explanation:

7 + 28 + 112 + 448 +...

Since the numbers keep getting larger and the ratio is greater than 1, the series will diverge

r = 28/7 = 4