arithmetic series

Question

evaluate:

∑⁵⁰₁(4n-1)

Answer 1

The sum of an arithmetic series is n(a+l)/2 where n is the number of terms, a the first term and l the last term.

With that information you should be able to solve the problem. BTW, you should be able to get this formula by yourself...the trick is to write the series backwards and forwards.

S = a + a+d ......a+(n-1)d

S= a+(n-1)d + a + (n-2d) +....+ a

2S = you work it out from here.