Q. 34.4( 9 Votes )

Find the 37th term of the AP

Answer :

The given AP can be rewritten as 6, 31/4 ,19/2 , 45/4,…

Here, First term = a = 6


Common difference = d = (31/4) - 6 = 7/4


To find = 37th term, n = 37


Using the formula for finding nth term of an A.P.,


an = a + (n - 1) × d


an = 6 + (37 - 1) × (7/4)


an = 6 + 36 × (7/4) = 6 + 63 = 69


37th term of the given AP is 69.


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