Find out next term of the series 2, 7, 28, 63, 126, ....

210

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213

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215

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219

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Solution

The correct option is D 215
Given the series' terms can be written as

$1^{3} + 1$ , $2^{3} - 1$ , $3^{3} + 1$ , $4^{3} - 1$ , $5^{3} + 1$ , $6^{3} - 1$ etc.

Hence the next number is $6^{3} - 1 = 216 - 1 = 215$

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