Find the next number in the series: 5, 21, 69 | vedclass

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Question

(B) Analyze the differences between consecutive terms in the series: $5, 21, 69, 213, 645$.$21 - 5 = 16$$69 - 21 = 48$$213 - 69 = 144$$645 - 213 = 432

Vedclass · Accepted Answer

$1941$

Vedclass · Answer

(B) Analyze the differences between consecutive terms in the series: $5, 21, 69, 213, 645$.$21 - 5 = 16$$69 - 21 = 48$$213 - 69 = 144$$645 - 213 = 432$Observe the pattern in the differences: $16, 48, 144, 432$.Each difference is $3$ times the previous difference:$16 	imes 3 = 48$$48 	imes 3 = 144$$144 	imes 3 = 432$The next difference should be $432 	imes 3 = 1296$.Therefore, the next term in the series is $645 + 1296 = 1941$.

$13$	$14$	$5$	$18$	$0.5$
$19$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

Find the next number in the series: $5, 21, 69, 213, 645, \dots ?$

Similar Questions

Find out the odd number from the given sequence: $2, 9, 28, 65, 126, 216, 344$.

$5, 3, 4, ?, 38$

$4, 30, 160, 810, 4060, \dots$

$13$ $14$ $5$ $18$ $0.5$
$19$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$

What will come in place of $(E)?$

Find out the odd number from the given sequence: $4, 2.5, 3.5, 6.5, 15.5, 41.25, 126.75$. (in $.5$)

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