Question

Identify the missing number in the following sequence
$2,17,52,..........,206$

• A. $73$
• B. $85$
• C. $113$
• D. $184$

Answer 1

The correct option is C $113$

The given sequence $2,17,52,..........,206$ follow a pattern :

$1^3+1^2=2$,

$2^3+3^2=17$,

$3^3+5^2=52$,

$4^3+7^2=113$,

$5^3+9^2=206$.

Hence, $113$ is the missing number.