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Question

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

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Solution

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

We need to find the 50th 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,


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