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