Question

An A.P. consists of 60 terms. If the first and the last terms be 7 and 125 respectively, find the 32nd term.

Answer 1

In the given problem, we need to find the 32^nd term of an A.P. which contains a total of 60 terms.

Here we are given the following,

First term (a) = 7

Last term (a_n) = 125

Number of terms (n) = 60

So, let us take the common difference as d

Now, as we know,

So, for the last term,

Further simplifying,

So, for the 32^nd term (n = 32)

Therefore, the 32^nd term of the given A.P. is.