(a) Compute the sum \[ 101^2 - 97^2 + 93^2 - 89^2 + \cdots + 5^2 - 1^2.\]

(b) Compute the sum \[ (a +(2n+1)d)^2- (a + (2n)d)^2 +(a + (2n-1)d)^2 - (a+(2n-2)d)^2 + \cdots + (a+d)^2 - a^2.\]

I would prefer it if the answers are not in latex. Thank you so much for helping me

Guest Dec 3, 2019

#1**+2 **

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

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

I'm not sure how to solve it but I DO know how to put it into LaTeX...

CoolStuffYT Dec 3, 2019

#2**0 **

ok, no problem. do you know how I can get in touch with any of the moderators or do I just have to wait for them to see my question

Guest Dec 3, 2019

#3**+1 **

For the moderators, it's their sleeping time right now I think ... wait a few hours and the site should be more active with mods again.

CoolStuffYT
Dec 3, 2019