Question

The 7^th term of an A.P. is 32 and its 13^th term is 62. Find the A.P.

Answer 1

Here, let us take the first term of the A.P. as a and the common difference of the A.P as d

Now, as we know,

So, for 7^th term (n = 7),

Also, for 13^th term (n = 13),

Now, on subtracting (2) from (1), we get,

Substituting the value of d in (1), we get,

So, the first term is 2 and the common difference is 5.

Therefore, the A.P. is