8, 15, 36, 99, 288, ldots ? | vedclass

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(C) The pattern of the series is based on the differences between consecutive terms:$15 - 8 = 7$$36 - 15 = 21$$99 - 36 = 63$$288 - 99 = 189$Observe th

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$855$

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(C) The pattern of the series is based on the differences between consecutive terms:$15 - 8 = 7$$36 - 15 = 21$$99 - 36 = 63$$288 - 99 = 189$Observe that the differences are $7, 21, 63, 189, \ldots$Each difference is obtained by multiplying the previous difference by $3$:$7 	imes 3 = 21$$21 	imes 3 = 63$$63 	imes 3 = 189$Following this pattern,the next difference should be:$189 	imes 3 = 567$Therefore,the next term in the series is:$288 + 567 = 855$

$15$	$16$	$25$	$50$
$189$	$(a)$	$(b)$	$(c)$	$(d)$	$(e)$

$8, 15, 36, 99, 288, \ldots ?$

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