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Compute each of the following sums by pairing the terms and applying the difference of squares:

(a) Compute the sum \(101^2 - 97^2 + 93^2 - 89^2 + \cdots + 5^2 - 1^2.\)
(b) Compute the sum \((a +(2n+1)d)^2- (a + (2n)d)^2 +(a + (2n-1)d)^2 - (a+(2n-2)d)^2 + \cdots + (a+d)^2 - a^2.\)

 Jul 5, 2020
 #1
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See the solutions here:

 

https://web2.0calc.com/questions/please-help-question-not-answered [Max's Answer]

 https://web2.0calc.com/members/alan/?answerpage=751 [Alan's Answer]

 Jul 5, 2020
 #2
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Thanks!!!

mathmathj28  Jul 8, 2020

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