Question

The first term of an A.P. is 5 and its 100^th term is −292. Find the 50^th term of this A.P.

Answer 1

In the given problem, we are given 1^st and 100^th term of an A.P.

We need to find the 50^th term

Here,

Now, we will find d using the formula

So,

Also,

So, to solve for d

Substituting a = 5, we get

Thus,

Substituting the above values in the formula,

Therefore,