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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) = 5 - 3 = 2
Now, as we know, the nth term from the end can be given by the formula,
an = l - (n-1) d
So, the 5th term from the end,
a5 = 201 - (5-1)2
= 201 - (4)2
= 201 - 8
= 193
Therefore, the 5th term from the end of the given A.P. is 193 .
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