Question

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

 

Answer 1

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

3, 5, 7, 9 …201

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

First term (a) = 3

Last term (a_n) = 201

Common difference (d) =  5 - 3 = 2 

Now, as we know, the n^th term from the end can be given by the formula,

a_n = l - (n-1) d

So, the 5^th term from the end,

a₅ = 201 - (5-1)2

     = 201 - (4)2

     = 201 - 8 

     = 193

Therefore, the 5^th term from the end of the given A.P. is 193 .