13, 25, 61, 121, 205 ?

323

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326

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324

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313

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none of these

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Solution

The correct option is D 313
Given series is,

$13, 25, 61, 121, 205 ?$

The pattern is given by,

$13 + 12 \times 1 = 25$

$25 + 12 \times 3 = 61$

$61 + 12 \times 5 = 121$

$121 + 12 \times 7 = 205$

$205 + 12 \times 9 = 313$

Therefore the correct option is $D$

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