Find the sum of the following series:

101 + 99 + 97 + … + 47

for the given AP the first term a is 101, and common difference d is a difference of second term and first term, which is 99 - 101 = - 2

To find: the sum of given AP

The formula for sum of AP is given by

Substituting the values in the above formula

s = 14 × 148

s = 2072