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Could someone please give me some steps to complete this? I have no idea what to do :( Thanks!

Compute The Sum :\((a +(2n+1)d)^2- (a + (2n)d)^2 +(a + (2n-1)d)^2 - (a+(2n-2)d)^2 + \cdots + (a+d)^2 - a^2.\)

 Apr 7, 2021
 #1
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(a + (2n + 1)d)^2 - (a + (2n)d)^2 + ... + (a + d)^2 - a^2 = (a + (2n + 1) d + (a + 2nd + ... + a + d) + a = n(3a + (n + 2)d).

 Apr 7, 2021
 #2
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Could you explain a bit?

brazzle  Apr 7, 2021

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