Find the missing number in the series: 243, d | vedclass

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(B) Observe the pattern of the series by calculating the ratio between consecutive terms:$72 / 108 = 2/3$$48 / 72 = 2/3$This is a geometric progressio

Vedclass · Accepted Answer

$162$

Vedclass · Answer

(B) Observe the pattern of the series by calculating the ratio between consecutive terms:$72 / 108 = 2/3$$48 / 72 = 2/3$This is a geometric progression where each term is multiplied by $2/3$ to get the next term.Let the missing term be $x$.Then,$x = 243 	imes (2/3) = 81 	imes 2 = 162$.To verify,$162 	imes (2/3) = 54 	imes 2 = 108$.The pattern holds true. Thus,the missing number is $162$.

$0$	$1$	$0$	$9$	$32$	$825$
$4$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

Find the missing number in the series: $243, \dots, 108, 72, 48$.

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$0$ $1$ $0$ $9$ $32$ $825$
$4$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$

What should come in place of $C$?

$\frac{2}{3}, \quad \frac{4}{7}, \quad ?, \quad \frac{11}{21}, \quad \frac{16}{31}$

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