Which term of the A.P.will be 84 more than its 13th term?

a = 3, d = 7

a13 = 3 + (13 – 1)7


= 3 + 84 = 87


Now, nth term is 84 more than the 13th term


an = 84 + a13


= 84 + 87


= 171


Now we have to find n,


an = a + (n – 1) d


171 = 3 + (n – 1) 7


7n = 175


n = 25


Hence, 25th term of the given A,.P. is 84 more than its 13th term


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