Q. 74.3( 211 Votes )

Find the sum of first 22 terms of an AP in which and 22nd term is 149.

Answer :

We have; n = 22, d = 7 and a22 = 149

where n is number of terms and
d is common difference.

We know;


an = a + (n – 1)d
⇒ 149 = a + (22 - 1)7
⇒ 149 = a + 147
⇒ a = 149 - 147
⇒ a = 2


The sum can be calculated as follows:




= 11*151


= 1661

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