Fill in the blank space for the given series | vedclass

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Question

(D) The given series is $1, 2, 3, 6, 9, 18, (\ldots), 54$.Observe the pattern between consecutive terms:$1 	imes 2 = 2$$2 	imes 1.5 = 3$$3 	imes 2

Vedclass · Accepted Answer

$27$

Vedclass · Answer

(D) The given series is $1, 2, 3, 6, 9, 18, (\ldots), 54$.Observe the pattern between consecutive terms:$1 	imes 2 = 2$$2 	imes 1.5 = 3$$3 	imes 2 = 6$$6 	imes 1.5 = 9$$9 	imes 2 = 18$The pattern follows alternating multiplication by $2$ and $1.5$ (or $\frac{3}{2}$).Following this pattern,the next operation after multiplying by $2$ is to multiply by $1.5$:$18 	imes 1.5 = 27$.To verify,the next term should be $27 	imes 2 = 54$,which matches the series.Therefore,the missing number is $27$.

Fill in the blank space for the given series with the correct alternative.
$1, 2, 3, 6, 9, 18, (\ldots), 54$

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Fill in the blank space for the given series with the correct alternative.$1, 2, 3, 6, 9, 18, (\ldots), 54$