Question

If $\frac{4}{5}$, a, 2 are three consecutive terms of an A.P., then find the value of a.

Answer 1

Here, we are given three consecutive terms of an A.P.

First term (a₁) =

Second term (a₂) =

Third term (a₃) =

We need to find the value of a. So, in an A.P. the difference of two adjacent terms is always constant. So, we get,

Also,

Now, on equating (1) and (2), we get,

Therefore,