Sequence And Series Question 158

Question: First term of the $ 11^{th} $ group in the following groups (1), (2, 3, 4), (5, 6, 7, 8, 9),???.is

Options:

A) 89

B) 97

C) 101

D) 123

Show Answer

Answer:

Correct Answer: C

Solution:

The required term is the $ 11^{th} $ term of the series $ 1+2+5+10+17+26+37+50+65+82+101+…… $ Aliter: $ n^{th} $ term of the series $ 1+2+5+10+17+……. $ is $ {{(n-1)}^{2}}+1 $
$ \therefore $ $ T_{11}=10^{2}+1=101 $ .