In the following number series,a wrong number | vedclass

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Question

(C) Let us analyze the differences between consecutive terms in the series:$12 - 8 = 4$$24 - 12 = 12$$46 - 24 = 22$$72 - 46 = 26$$108 - 72 = 36$$152 -

Vedclass · Accepted Answer

$46$

Vedclass · Answer

(C) Let us analyze the differences between consecutive terms in the series:$12 - 8 = 4$$24 - 12 = 12$$46 - 24 = 22$$72 - 46 = 26$$108 - 72 = 36$$152 - 108 = 44$The pattern of differences is $4, 12, 22, 26, 36, 44$. This does not seem consistent.Let us look at the differences of the differences:$12 - 4 = 8$$22 - 12 = 10$$26 - 22 = 4$$36 - 26 = 10$$44 - 36 = 8$If we observe the pattern of adding multiples of $4$ (or a constant second difference of $8$),the sequence of differences should be $4, 12, 20, 28, 36, 44$.Checking the terms with this pattern:$8 + 4 = 12$$12 + 12 = 24$$24 + 20 = 44$ (instead of $46$)$44 + 28 = 72$$72 + 36 = 108$$108 + 44 = 152$Thus,the wrong number is $46$,which should be $44$.

$2$	$3$	$8$	$27$
$5$	$(a)$	$(b)$	$(c)$	$(d)$	$(e)$

In the following number series,a wrong number is given. Find out that wrong number.
$8, 12, 24, 46, 72, 108, 152$

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In the following number series,a wrong number is given. Find out that wrong number.$8, 12, 24, 46, 72, 108, 152$