Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.

Question:

Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.

Solution:

In the given problem, we need to find the 5th term from the end for the given A.P.

3, 5, 7, 9 …201

Here, to find the 5th term from the end let us first find the common difference of the A.P. So,

First term (a) = 3

Last term (an) = 201

Common difference (d) = 

Now, as we know, the nth term from the end can be given by the formula,

So, the 5th term from the end,

$a_{5}=201-(5-1) 2$

$=201-(4) 2$

$=201-8$

$=193$

Therefore, the $5^{\text {th }}$ term from the end of the given A.P. is 193 .

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