Find the missing numbers:
$2, 12, 36, 80, 150, ?$

194

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210

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252

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258

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Solution

The correct option is C $252$
Option (C) is the correct answer
Explanation:
$T h e p a t t e r n t h a t h a s b e e n f o l l o w e d i n t h e g i v e n s e r i e s i s : n^{3} + n^{2}, w h e r e n = 1, 2, 3, . . . . . 1^{3} + 1^{3} = 1 + 1 = 2 2^{3} + 2^{2} = 8 + 4 = 12 3^{3} + 3^{2} = 27 + 9 = 36 4^{3} + 4^{2} = 64 + 16 = 80 5^{3} + 5^{2} = 125 + 25 = 150 F o l l o w i n g t h e s a m e p a t t e r n, t h e l a s t t e r m i s : 6^{3} + 6^{2} = 216 + 36 = 252$

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