Question

Find the second term and n^th term of an A.P. whose 6^th term is 12 and 8^th term is 22.

Answer 1

In the given problem, we are given 6^th and 8^th term of an A.P.

We need to find the 2^nd and n^th term

Here, let us take the first term as a and the common difference as d

We are given,

Now, we will find and using the formula

So,

Also,

So, to solve for a and d

On subtracting (1) from (2), we get

Substituting (3) in (1), we get

Thus,

So, for the 2^nd term (n = 2),

For the n^th term,

Therefore,