Sequence And Series Question 623

Question: 8th term of the series $ 2\sqrt{2}+\sqrt{2}+0+….. $ will be

Options:

A) $ -5\sqrt{2} $

B) $ 5\sqrt{2} $

C) $ 10\sqrt{2} $

D) $ -10\sqrt{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

Obviously the given series $ 2\sqrt{2}+\sqrt{2}+0+……. $ is an A.P. Here $ a=2\sqrt{2},\ d=-\sqrt{2} $ . Hence term of the series $ =2\sqrt{2}+(8-1)(-\sqrt{2})=-5\sqrt{2} $ .