+0

# Help with Sums

+1
46
2
+22

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
+1

(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
+22
0

Could you explain a bit?

brazzle  Apr 7, 2021