(a) Compute the sum \[ 101^2 - 97^2 + 93^2 - 89^2 + \cdots + 5^2 - 1^2.\] (b) Compute the sum \[ (a +(2n+1)d)^2- (a + (2n)d)^2 +(a + (2n-1)d)^2 - (a+(2n-2)d)^2 + \cdots + (a+d)^2 - a^2.\]
This question was dealt with here: https://web2.0calc.com/questions/reposted-because-the-answer-i-got-last-time-was-incorrect#r8
