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 $ .
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