In the following number series,one of the num | vedclass

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(B) Let us analyze the pattern of the series:$5 	imes 1.5 = 7.5$$7.5 	imes 1.5 = 11.25$$11.25 	imes 1.5 = 16.875$$16.875 	imes 1.5 = 25.3125$Alter

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$17.5$

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(B) Let us analyze the pattern of the series:$5 	imes 1.5 = 7.5$$7.5 	imes 1.5 = 11.25$$11.25 	imes 1.5 = 16.875$$16.875 	imes 1.5 = 25.3125$Alternatively,checking the differences:$7.5 - 5 = 2.5$$11.25 - 7.5 = 3.75$$17.5 - 11.25 = 6.25$$29.75 - 17.5 = 12.25$$50 - 29.75 = 20.25$$91.25 - 50 = 41.25$Observing the differences: $2.5, 3.75, 6.25, 12.25, 20.25, 41.25$.The pattern of differences is: $2.5 	imes 1.5 = 3.75$,$3.75 	imes 1.5 = 5.625$ (not $6.25$).If we replace $17.5$ with $16.875$,the series becomes $5, 7.5, 11.25, 16.875, 25.3125, 37.96875, 56.953125$.However,looking at the provided options,$17.5$ is the term that disrupts the geometric progression $a_n = a_{n-1} 	imes 1.5$.

$43$	$49$	$2197$	$130321$	$100000$	$1$
$25$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

$6$	$14$	$35$	$111$	$449$
$3$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

In the following number series,one of the numbers does not fit into the series. Identify the wrong number in the series.
$5 \quad 7.5 \quad 11.25 \quad 17.5 \quad 29.75 \quad 50 \quad 91.25$

Similar Questions

What is the value of $S = \frac{1}{1 \times 3 \times 5} + \frac{1}{1 \times 4} + \frac{1}{3 \times 5 \times 7} + \frac{1}{4 \times 7} + \frac{1}{5 \times 7 \times 9} + \frac{1}{7 \times 10} + \dots$ up to $20$ terms?

Find out the odd number from the given sequence:
$157.5 \quad 45 \quad 15 \quad 6 \quad 3 \quad 2 \quad 1$

$43$ $49$ $2197$ $130321$ $100000$ $1$
$25$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$

What should come in place of $E$?

$6$ $14$ $35$ $111$ $449$
$3$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$
Which of the following numbers will come in place of $(B)$?

$4, 196, 16, 169, ?, 144, 64$

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In the following number series,one of the numbers does not fit into the series. Identify the wrong number in the series.$5 \quad 7.5 \quad 11.25 \quad 17.5 \quad 29.75 \quad 50 \quad 91.25$