3, 6, 21, 28, 55, 66, ?, 120 | vedclass

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Question

(D) The series follows a pattern of pairs where the difference increases by $4$ in each subsequent pair.Pair $1$: $3, 6$ (Difference = $3$)Pair $2$: $

Vedclass · Accepted Answer

$105$

Vedclass · Answer

(D) The series follows a pattern of pairs where the difference increases by $4$ in each subsequent pair.Pair $1$: $3, 6$ (Difference = $3$)Pair $2$: $21, 28$ (Difference = $7$)Pair $3$: $55, 66$ (Difference = $11$)Pair $4$: $x, 120$ (Difference = $15$)Since the differences are $3, 7, 11, 15$ (an arithmetic progression with a common difference of $4$),the next difference must be $15$.Therefore,$x = 120 - 15 = 105$.

$8$	$8$	$12$	$24$
$36$	$(a)$	$(b)$	$(c)$	$(d)$	$(e)$

$3, 6, 21, 28, 55, 66, ?, 120$

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