7, 12, 32, 105, ? | vedclass

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Question

(A) The pattern follows the logic: $n_{i} 	imes i + i 	imes (6-i)$,where $i$ is the position index starting from $1$.For the first term: $7 	imes 1

Vedclass · Accepted Answer

$428$

Vedclass · Answer

(A) The pattern follows the logic: $n_{i} 	imes i + i 	imes (6-i)$,where $i$ is the position index starting from $1$.For the first term: $7 	imes 1 + 1 	imes 5 = 7 + 5 = 12$.For the second term: $12 	imes 2 + 2 	imes 4 = 24 + 8 = 32$.For the third term: $32 	imes 3 + 3 	imes 3 = 96 + 9 = 105$.For the fourth term: $105 	imes 4 + 4 	imes 2 = 420 + 8 = 428$.Thus,the next term is $428$.

$2$	$4$	$9$	$20$	$43$	$90$
$3$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

$7, 12, 32, 105, ?$

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