Question

Find the missing numbers:

$2,3,10,15,26,(?)$

• A. $36$
• B. $35$
• C. $39$
• D. $48$

Answer 1

The correct option is B $35$

Here, the pattern is: ${\left(oddnumber\right)}^2+1$ and ${\left(evennumber\right)}^2-1$
Therefore, ${1)}^2+1$ = 2,
$2^2-1$ = 3,
${3)}^2+1$ = 10,
$4^2-1$ = 15,
${5)}^2+1$ = 26.
Similarly, $6^2-1$ = 35,
Hence, option (B) is the correct answer.