1, 6, 27, 108, dots | vedclass

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Question

(A) The given series is $1, 6, 27, 108, \dots$Let us analyze the pattern:$1 	imes 6 = 6$$6 	imes 4.5 = 27$$27 	imes 4 = 108$This pattern is not imm

Vedclass · Accepted Answer

$405$

Vedclass · Answer

(A) The given series is $1, 6, 27, 108, \dots$Let us analyze the pattern:$1 	imes 6 = 6$$6 	imes 4.5 = 27$$27 	imes 4 = 108$This pattern is not immediately obvious. Let us try another approach:$1 	imes 3^0 = 1$$2 	imes 3^1 = 6$$3 	imes 3^2 = 27$$4 	imes 3^3 = 108$Following this pattern,the next term should be $5 	imes 3^4$.$5 	imes 81 = 405$.Therefore,the next term is $405$.

$4$	$16$	$48$	$120$	$272$
$124$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

$1, 6, 27, 108, \dots$

Similar Questions

What will come in place of the question mark $(?)$ in the following number series?
$3, 6, 12, 24, 48, ?$

$4$ $16$ $48$ $120$ $272$
$124$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$

Which of the following numbers will come in place of $(C)$?

Find out the odd number from the given sequence: $6, 7, 9, 13, 26, 37, 69$.

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