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 .