SOLUTION: I didn't know what category to put this in... Solve for 4+8+12+...+204+208 is there a simpler way to do this than adding every number between the beginning and end?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: I didn't know what category to put this in... Solve for 4+8+12+...+204+208 is there a simpler way to do this than adding every number between the beginning and end?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 800372: I didn't know what category to put this in...
Solve for 4+8+12+...+204+208 is there a simpler way to do this than adding every number between the beginning and end?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
its arithmetic progression
The nth term is given by
Tn = a+(n-1)d
a= first term
d= difference between terms
n = number of terms
208=4+(n-1)4
208=4+4n-4
208=4n
n=52
Sum of n terms
Sn = n/2(2a+(n-1)d)
Sn = 52/2(2*4+(51*4)
=27(8+204)
=27*212
=5724
208=4(n-1)4