Question

Find the arithmetic progression whose third term is 16 and seventh term exceeds its fifth term by 12.

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 3^rd term (n = 3),

Also, for 5^th term (n = 5),

For 7^th term (n = 7),

Now, we are given,

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

So, the first term is 4 and the common difference is 6.

Therefore, the A.P. is