Find the next number in the series: 0, 6, 24, | vedclass

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Question

(D) The given series is $0, 6, 24, 60, 120, 210, ?$.This series can be expressed as $n^3 - n$ for $n = 1, 2, 3, 4, 5, 6, 7, ...$:For $n=1: 1^3 - 1 = 0

Vedclass · Accepted Answer

$336$

Vedclass · Answer

(D) The given series is $0, 6, 24, 60, 120, 210, ?$.This series can be expressed as $n^3 - n$ for $n = 1, 2, 3, 4, 5, 6, 7, ...$:For $n=1: 1^3 - 1 = 0$For $n=2: 2^3 - 2 = 8 - 2 = 6$For $n=3: 3^3 - 3 = 27 - 3 = 24$For $n=4: 4^3 - 4 = 64 - 4 = 60$For $n=5: 5^3 - 5 = 125 - 5 = 120$For $n=6: 6^3 - 6 = 216 - 6 = 210$For $n=7: 7^3 - 7 = 343 - 7 = 336$Therefore,the next number is $336$.

$4$	$9$	$25$	$103$
$3$	$(a)$	$(b)$	$(c)$

$60$	$121$	$131$	$264$	$284$	$571$	$601$
$120$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

Find the next number in the series: $0, 6, 24, 60, 120, 210, ?$

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