The first term of an A.P. is 2, and the last term is 50. The sum of all these terms is 442. Find the common difference.

given a1 = 2 and an = 50

To find: the common difference


we know that the sum of AP is given by the formula:



substituting the values in above equation we get



n = 17


Now for the finding number of terms, the formula is



we know that


d = 3


19