Question

$2,9,28,65,126,?$

• A. $217$
• B. $196$
• C. $216$
• D. $226$

Answer 1

The correct option is A $217$

The question is the part of number series in quantitative aptitude.

We need to find relationship among the numbers and then use it to find the answer.In this question, the rule goes like this $n^3$ $+1$

Here, first term $=$ $1^3$ $+1=2$,
second term $=$ $2^3$ $+1=9$,
third term $=$ $3^3$ $+1=28$,
fourth term $=$ $4^3$ $+1=65$
and fifth term $=$ $5^3$ $+1=126$
Since sixth term of series $=$ $6^3+1$ $=217$

So, answer is option A.