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Talk:Hockey-stick identity

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Alternative proof

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Here is another proof:

By the formula for the sum of a geometric series,

Now expand both sides via the binomial theorem and simplify:

The hockey stick identity follows by equating coefficients of .

I came up with this proof, which I think is pretty nice, and I can't find it anywhere else, so I just assume its new. EZ132 (talk) 19:09, 18 September 2020 (UTC)[reply]

Induction: does it require induction on both N and K?

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As I understand it, you prove it works for some N and then show this works for N+1. But what about K? Does the proof in this article address different values of K or is that not needed? 50.230.251.244 (talk) 21:29, 4 November 2023 (UTC)[reply]