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(a) Compute the sum

 

 \(101^2 - 97^2 + 93^2 - 89^2 + \cdots + 5^2 - 1^2.\)

 

(b) Compute the sum

 

  \((a +(2n+1)d)^2- (a + (2n)d)^2 +(a + (2n-1)d)^2 - (a+(2n-2)d)^2 + \cdots + (a+d)^2 - a^2.\)

 Apr 20, 2020
 #1
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a - sumfor(n, 1, 26,(-1)^(n + 1) *(105 - 4* n)^2 = 5304

 Apr 20, 2020

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