Fill in the missing number
$7, 176, 297, 378,$ $. . . . . . . . . . . . . . .$

387

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403

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427

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459

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Solution

The correct option is C $427$
$\Rightarrow 7 + 13^{2} = 7 + 169 = 176$
$\Rightarrow 176 + 11^{2} = 176 + 121 = 297$
$\Rightarrow 297 + 9^{2} = 297 + 81 = 378$
$\Rightarrow 378 + 7^{2} = 378 + 49 = 427$
Therefore, the next number is $427$
Hence, option 'C' is correct.

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