Q. 5

# There are n A.M.s

Let the series be 3, A1, A2, A3, ........, An, 17

From the data,

We know total terms in AP are n + 2

So 17 is the (n + 2)th term

We know,

An = a + (n - 1)d

So, 17 = 3 + (n + 2 - 1)d

Therefore,

And

Since,

9n + 51 = 17n + 3

8n = 48

n = 6

There are 6 terms in AP

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