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Question

The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.

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Solution

In the given problem, we are given 10th and 18th term of an A.P.

We need to find the 26th term

Here,

Now, we will find and using the formula

So,

Also,

So, to solve for a and d

On subtracting (1) from (2), we get

Substituting d=4 in (1), we get

Thus,

Substituting the above values in the formula,

Therefore,


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