Find the sum of first 22 terms of an A.P. in which d = 22 and a22 = 149.

a22= a + 21d

149 = a + 21(22)


a = 149 – 462


a = -313


S22= [2a + (22 – 1) d]


= 11 [-626 + 462]


= 11 (-164)


= -1804


10