2, 12, 36, 80, dots | vedclass

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Question

(C) The given series follows the pattern $n^{3} + n^{2}$ for $n = 1, 2, 3, 4, 5, \dots$For $n=1: 1^{3} + 1^{2} = 1 + 1 = 2$For $n=2: 2^{3} + 2^{2} = 8

Vedclass · Accepted Answer

$150$

Vedclass · Answer

(C) The given series follows the pattern $n^{3} + n^{2}$ for $n = 1, 2, 3, 4, 5, \dots$For $n=1: 1^{3} + 1^{2} = 1 + 1 = 2$For $n=2: 2^{3} + 2^{2} = 8 + 4 = 12$For $n=3: 3^{3} + 3^{2} = 27 + 9 = 36$For $n=4: 4^{3} + 4^{2} = 64 + 16 = 80$Following this pattern,the next term for $n=5$ is:$5^{3} + 5^{2} = 125 + 25 = 150$

$2, 12, 36, 80, \dots$

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