Question

Find the sum of the following series :

2 + 5 + 8 + … + 182

Answer 1

2 + 5 + 8 + … + 182

For the given AP the first term a is 2, and common difference d is a difference of the second term and first term, which is 5 - 2 = 3 

To find : the sum of given AP 

The formula for the sum of AP is given by,

s = \(\frac{n}{2}\)(2a+(n-1)d)

Substituting the values in the above formula,

s = 92 × 61 

s = 5612