Find the missing number.
$2, 3, 10, 15, 26, ?$

34

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35

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36

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37

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Solution

The correct option is B $35$
Here, the pattern is: ${(o d d n u m b e r)}^{2} + 1$ and ${(e v e n n u m b e r)}^{2} - 1$
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.

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