Question

Identify whether the series summation of 15 open parentheses 4 close parentheses to the I minus 1 power from 1 to infinity is a convergent or divergent geometric series and find the sum, if possible.

This is a convergent geometric series. The sum is –5.

This is a divergent geometric series. The sum is –5.

This is a convergent geometric series. The sum cannot be found.

This is a divergent geometric series. The sum cannot be found.

Answer 1

This is a divergent geometric series. The sum cannot be found.

Explanation:

The common ratio is 4, which is greater than 1, so the series diverges. There is no finite sum.