# Insert A.M.s betw

Let the series be 7, A1, A2, A3, ........, An, 71

We know total terms in AP are n + 2

So 71 is the (n + 2)th term

We know,

An = a + (n - 1)d

So, A6 = a + (6 - 1)d

a + 5d = 27 (5th term)

d = 4

71 = (n + 2)th term

71 = a + (n + 2 - 1)d

71 = 7 + n(4)

n = 15

There are 15 terms in AP

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