2, 18, 66, 210, 642, dots | vedclass

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Question

(D) Observe the pattern between consecutive terms:$2 	imes 3 + 12 = 18$$18 	imes 3 + 12 = 66$$66 	imes 3 + 12 = 210$$210 	imes 3 + 12 = 642$Altern

Vedclass · Accepted Answer

$1938$

Vedclass · Answer

(D) Observe the pattern between consecutive terms:$2 	imes 3 + 12 = 18$$18 	imes 3 + 12 = 66$$66 	imes 3 + 12 = 210$$210 	imes 3 + 12 = 642$Alternatively,each term $T_n$ follows the rule $T_{n+1} = (T_n + 4) 	imes 3$.Applying this to the last term:$(642 + 4) 	imes 3 = 646 	imes 3 = 1938$.

$18$	$22$	$38$	$74$
$121$	$(a)$	$(b)$	$(c)$

$2, 18, 66, 210, 642, \dots$

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