# How do you find the number of terms n given the sum #s_n=2178# of the series #2+16+30+44+58+...#?

##### 1 Answer

Jul 29, 2016

there is none

#### Explanation:

First lets find the equation from the series. Immediately we see a difference of

now we need to solve for

using the quadratic formula

so the summation is off because the closes number to