Question

Find 9th term of the A.P `3/4, 5/4, 7/4, 9/4,.....`

Answer 1

9th term of the A.P `3/4, 5/4, 7/4, 9/4,.....`

Here

First term (a) = `3/4`

Common difference of the A.P.(d) =  `5/4 - 3/4`

`= (5 - 3)/4`

`= 2/4`

Now as we know 

`a_n= a + (n -1)d`

So, for 9^th term,

`a_9 = a + (9 - 1)d`

`= 3/4 + (8) (2/4)`

`= 3/4 + 16/4`

`= 19/4`

Therefore the 9th term of the given A.P. is  `a_9 = 19/4`