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Question
Find the 18th term of the AP `sqrt2, 3sqrt2, 5sqrt2.....`
Solution
In this problem, we are given different A.P. and we need to find the required term of that A.P.
18th 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 18th term,
`a_18 = a + (18 - 1)d`
`= sqrt2 + (17)2sqrt2`
`= sqrt2 + 34sqrt2`
`= 35sqrt2`
Therefore, the 18th term of the given A.P. is `a_18 = 35sqrt2`
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