The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

a = 5, l = 45

Sn= 400


[5 + 45] = 400


[50] = 400


n = 16


16th term is 45


a16= 45


5 + 15d = 45


15d = 40


d =


30