Fill in the blank space for the given series | vedclass

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Question

(C) The given series is $0, 2, 6, (\ldots), 20, 30, 42$.Let us observe the differences between consecutive terms:$2 - 0 = 2$$6 - 2 = 4$The pattern of

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(C) The given series is $0, 2, 6, (\ldots), 20, 30, 42$.Let us observe the differences between consecutive terms:$2 - 0 = 2$$6 - 2 = 4$The pattern of differences is increasing by $2$ $(2, 4, 6, 8, 10, 12, \ldots)$.Following this pattern,the next difference after $4$ should be $6$.So,the missing term is $6 + 6 = 12$.To verify,the next term would be $12 + 8 = 20$,then $20 + 10 = 30$,and $30 + 12 = 42$,which matches the series.Therefore,the correct alternative is $12$.

Fill in the blank space for the given series with the correct alternative.
$0, 2, 6, (\ldots), 20, 30, 42$

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Fill in the blank space for the given series with the correct alternative.$0, 2, 6, (\ldots), 20, 30, 42$