Question

The next term of √2, √8, √18, √32, ……………. is ………………

A) \(\sqrt{34}\)

B) \(\sqrt{38}\)

C) \(\sqrt{42}\)

D) \(\sqrt{50}\)

Answer 1

Correct option is (D) \(\sqrt{50}\)

Given sequence is \(\sqrt2,\sqrt8,\sqrt{18},\sqrt{32},.......\)

\(\Rightarrow\sqrt2,\sqrt{4\times2},\sqrt{9\times2},\sqrt{16\times2},......\) is the given sequence.

\(\Rightarrow\sqrt2,2\sqrt2,3\sqrt2,4\sqrt2,.......\) is the given sequence.

Hence, next term is \(5\sqrt2\)

\(=\sqrt{25\times2}=\sqrt{50}\)

Answer 2

Correct option is D) \(\sqrt{50}\)