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Among the following the A.P series is

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\sqrt{2} + \sqrt{8} + \sqrt{18} + \dots

1 + 2 + 3 + \dots

\sqrt{7} + \sqrt{28} + \sqrt{63} + \dots

5 + 9 + 13 + \dots

answer is D.

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Detailed Solution

Option(A):

1 + 2 + 3 + \dots

is in A.P,

∴ d = 1

Option(B): $5 + 9 + 13 + \dots$ is in A.P, $∴ d = 4$

Option(C): $\sqrt{7} + \sqrt{28} + \sqrt{63} + \dots$ is in A.P, $∴ d = \sqrt{7}$

Option(D): $\sqrt{2} + \sqrt{8} + \sqrt{18} + \dots$ is in A.P, $∴ d = \sqrt{2}$

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