Question

What is the sum of a 52 term arithmetic sequence where the 1st term is 1 and the last term is 154 ?

Answer 1

the general set up for this; which we then fill in for specifics is:

\[S=\frac{n(first+last)}{2}\]

Answer 2

we are told that n = 52; first = 1 and last = 154

Answer 3

so we simply fill in the parts to get:
\[S=\frac{52(1+154)}{2}\]

Answer 4

s= 4030 ?

Answer 5

52(155)
------ = 26(155) .... yep 4030 is what my calculator spits back out :)
2