17, 22, 52, 165, ? | vedclass

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(D) To find the next number in the series $17, 22, 52, 165, ?$,we analyze the pattern between consecutive terms:$17 	imes 1 + 5 = 22$$22 	imes 2 + 8

Vedclass · Accepted Answer

$668$

Vedclass · Answer

(D) To find the next number in the series $17, 22, 52, 165, ?$,we analyze the pattern between consecutive terms:$17 	imes 1 + 5 = 22$$22 	imes 2 + 8 = 52$$52 	imes 3 + 9 = 165$$165 	imes 4 + 8 = 668$Alternatively,looking at the pattern of the additions $(5, 8, 9, 8)$: The multipliers are $1, 2, 3, 4$. The additions follow a pattern where the second difference is constant $(-2)$:$5 \xrightarrow{+3} 8 \xrightarrow{+1} 9 \xrightarrow{-1} 8$Differences: $3, 1, -1$. The difference between these is $-2$.Following this logic,the next term is $165 	imes 4 + 8 = 660 + 8 = 668$.

$600$	$360$	$360$	$450$	$600$	$800$
$1200$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

$17, 22, 52, 165, ?$

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