What is the sum of the series: 2 + 12 + 40 + 112 + .....................infinity ?

What is the sum of the series: 2 + 12 + 40 + 112 + .....................infinity ?

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestThe series does not converge. – Nihar Mahajan · 2 years ago

Log in to reply

@Nihar Mahajan – Manish Dash · 2 years ago

ok so is the answer infinity.Log in to reply

– Nihar Mahajan · 2 years ago

I guess yes.Log in to reply

According to me the answer should be infinity, since the series is increasing and common ratio is greater than 1. But is my reasoning correct? @Brian Charlesworth – Manish Dash · 2 years ago

Log in to reply

Just out of curiosity, note that the sum of the first \(N\) terms of this series is \((2N - 3)2^{N+1} + 6.\) – Brian Charlesworth · 2 years ago

Log in to reply

– Manish Dash · 2 years ago

Thank You Sir.Log in to reply