+0

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

+4
91
2
+313

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
+3

See the solutions here: