Answer:
Step-by-step explanation:
The given series is
This is a geometric series and the first term is
The common ratio is
The sum of the first n terms of this geometric series is given by,
We want to find such .
This implies that,
We simplify to get,
We multiply through by to get,
We group the constant terms to get,
This implies that,
We apply the laws of indices to further obtain,
We got division by zero, this means that is infinity.
is the sum to infinity of the given series.
Hence we do not have a finite number of terms.