Question

The next term of the AP √7, √28, √63,..... is 

(a) √70

(b) √84

(c) √98

(d) √112

Answer 1

Correct answer is (d) \(\sqrt{112}\)

The given terms of the AP can be written as 

\(\sqrt{7},\sqrt{4\times7},\sqrt{9\times7},...\)i.e.\(\sqrt{7},2\sqrt{7},3\sqrt{7},.....\)

∴ Next term = \(4\sqrt{7}=\sqrt{16\times7}=\sqrt{112}\)