3, 12, 27, 48, 75, 108, ?

147

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162

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183

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192

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Solution

The correct option is D 147
The terms of the given series are $3 \times 1^{2}, 3 \times 2^{2}, 3 \times 3^{2}, 3 \times 4^{2}, 3 \times 5^{2}, 3 \times 6^{2}, . . . . .$
So, missing term = $3 \times 7^{2} = 3 \times 49 = 147.$

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