12, 28, 75, 316, 1555, ? | vedclass

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Question

(A) The pattern follows the sequence of operations: $12 	imes 2 + 2^2 = 24 + 4 = 28$ $28 	imes 3 - 3^2 = 84 - 9 = 75$ $75 	imes 4 + 4^2 = 300 + 16

Vedclass · Accepted Answer

$9366$

Vedclass · Answer

(A) The pattern follows the sequence of operations: $12 	imes 2 + 2^2 = 24 + 4 = 28$ $28 	imes 3 - 3^2 = 84 - 9 = 75$ $75 	imes 4 + 4^2 = 300 + 16 = 316$ $316 	imes 5 - 5^2 = 1580 - 25 = 1555$ Following this alternating pattern of $(+n^2)$ and $(-n^2)$ with increasing multipliers: $1555 	imes 6 + 6^2 = 9330 + 36 = 9366$

$12, 28, 75, 316, 1555, ?$

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