Question

Find the 18^th term of the AP `sqrt2, 3sqrt2, 5sqrt2.....`

Answer 1

In this problem, we are given different A.P. and we need to find the required term of that A.P.

18^th term of the AP `sqrt2, 3sqrt2, 5sqrt2.....`

Here

First term (a) =`sqrt2`

Common difference of the A.P. (d) = `3sqrt2 - sqrt2`

`=2sqrt2`

Now, as we know,

`a_n  a + (n -1)d`

So, for 18^th term,

`a_18 = a + (18 - 1)d`

`= sqrt2 + (17)2sqrt2`

`= sqrt2 + 34sqrt2`

`= 35sqrt2`

Therefore, the 18^th term of the given A.P. is `a_18 = 35sqrt2`