Question

Find the 10^th term from the end of the A.P. 8, 10, 12, ..., 126.

Answer 1

In the given problem, we need to find the 10^th term from the end for the given A.P.

We have the A.P as 8, 10, 12 …126

Here, to find the 10^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) = 8

Last term (a_n) = 126

Common difference (d) = =2

Now, as we know,

So, for the last term,

Further simplifying,

So, the 10^th term from the end means the 51^st term from the beginning.

So, for the 51^st term (n = 51)

Therefore, the 10^th term from the end of the given A.P. is.