Given the series:
Rewriting the given series as sum of two series:
Hence we get sum of two geometric series:
Since both
Both the individual geometric series converge.
The given series is sum of two converging, hence the given series
The sum of an infinite geometric series is given as:
The sum of the series will be:
The sum of the given series will be:
Final Answer:
The given series is converging.
The sum of series is 8
Answer is given below (on video)