Question

Find the 8^th term from the end of the A.P. 7, 10, 13, ..., 184.

Answer 1

In the given problem, we need to find the 8^th term from the end for the given A.P.

We have the A.P as 7, 10, 13 …184

Here, to find the 8^th term from the end let us first find the total number of terms. Let us take the total number of terms as n.

So,

First term (a) = 7

Last term (a_n) = 184

Common difference (d) = =3

Now, as we know,

So, for the last term,

Further simplifying,

So, the 8^th term from the end means the 53^rd term from the beginning.

So, for the 53^rd term (n = 53)

Therefore, the 8^th term from the end of the given A.P. is.