# What is the sum of the arithmetic series 2 + 5 + 8 + ... + 56?

##### 1 Answer

Mar 28, 2016

#### Answer:

#### Explanation:

The first term of the corresponding arithmetic sequence is

Hence the general term may be given by the formula

So we now need to find which term has value

So we thus need to find the sum of the series

There are 2 formulae applicable :

#S_n=n/2[2a+(n-1)d]#

#S_n=n/2(a+l)#