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

Feb 15, 2016

The sum is $4030$.

#### Explanation:

color(blue)(S(n) = (n/2) (A1 + An)

$\rightarrow S \left(52\right) = \left(\frac{52}{2}\right) \left(1 + 154\right)$

$\rightarrow S \left(52\right) = 26 \left(155\right)$

$\Rightarrow S \left(52\right) = 4030$