Tuesday, 25 April 2017

real analysis - How to calculate sumfrac1(4k−1)(4k+4)?

I'm trying to calculate ∑∞k=11(4k−1)(4k+4) using telescopic sums. I've already proved this equality: ∑1(4k−1)(4k+4)=15(∑14k−1−14k+4). The problem is I can't cancel the terms of this sum.



I need help



Thanks

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