Question

Does the following infinite series converge or diverge? explain your answer. 7+28+112+448+...

Answer 1

Infinite series can either be convergent or divergent. It is convergent if the series has a limit and would approach a certain real number. It is divergent if it has no limits. 

The given above is a series that is comprised of whole numbers and can go as large as the positive infinity. Because of this, the answer to this item is Divergent. 

Answer 2

To determine whether the series converges or diverges, we will need to get the value of r.
If r is greater than 1, then the series converges
If r is less than 1, then the series diverges

In the given series:
r = 28/7 = 112/28 = 448/112 = 4

Based on the above, this series converges