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(b) Compute the sum \((a +(2n+1)d)^2- (a + (2n)d)^2 +(a + (2n-1)d)^2 - (a+(2n-2)d)^2 + \cdots + (a+d)^2 - a^2\).

 

So I think I will have to apply difference of squares to this. But the many variables are confusing me and making it harder for me. I don't quite get the "2n+1, 2n, 2n-1 etc" part so it's making it difficult to factor. Can somone explain how this is factored step by step? I'd really appreciate it, thank you.

 Jun 23, 2020
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See Alan's answer here:  https://web2.0calc.com/members/alan/?answerpage=751

 Jun 23, 2020

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