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

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

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

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@Nihar Mahajan – Manish Dash · 2 years, 2 months ago

ok so is the answer infinity.Log in to reply

– Nihar Mahajan · 2 years, 2 months 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, 2 months ago

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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, 2 months ago

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– Manish Dash · 2 years, 2 months ago

Thank You Sir.Log in to reply