Fill in the blank space for the given series | vedclass

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Question

(D) The given series is a combination of two alternating series:Series $I$: $3, 5, 7, 9$ (where each term increases by $2$)Series $II$: $6, 20, 42, (.

Vedclass · Accepted Answer

$72$

Vedclass · Answer

(D) The given series is a combination of two alternating series:Series $I$: $3, 5, 7, 9$ (where each term increases by $2$)Series $II$: $6, 20, 42, (...)$Let's analyze the differences between consecutive terms in Series $II$:$20 - 6 = 14$$42 - 20 = 22$The difference between the differences is $22 - 14 = 8$. Therefore,the next difference should be $22 + 8 = 30$.Thus,the missing number is $42 + 30 = 72$.

Fill in the blank space for the given series with the correct alternative.
$3, 6, 5, 20, 7, 42, 9, (...)$

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Fill in the blank space for the given series with the correct alternative.$3, 6, 5, 20, 7, 42, 9, (...)$