In an A.P., the first term is 12 and the common difference is 6. If the last term of the A.P. is 252, find its middle term. (CBSE 2012)
We have, a=12, d=6 and l =252
an = 252
⇒ l = a + (n - 1 ) d
⇒ 252 = 12 + (n - 1 ) 6
⇒ 240 = (n - 1) 6
⇒ n - 1 = 40
⇒ n = 41
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