Fill in the blank space for the given series | vedclass

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Question

(B) The given series is $24, 60, 120, 210, \dots$Let us find the differences between consecutive terms:$60 - 24 = 36$$120 - 60 = 60$$210 - 120 = 90$Th

Vedclass · Accepted Answer

$336$

Vedclass · Answer

(B) The given series is $24, 60, 120, 210, \dots$Let us find the differences between consecutive terms:$60 - 24 = 36$$120 - 60 = 60$$210 - 120 = 90$The differences are $36, 60, 90, \dots$Now,let us find the differences between these differences:$60 - 36 = 24$$90 - 60 = 30$The second-order differences are $24, 30, \dots$,which increase by $6$.The next second-order difference should be $30 + 6 = 36$.Therefore,the next first-order difference should be $90 + 36 = 126$.Thus,the missing number is $210 + 126 = 336$.

Fill in the blank space for the given series with the correct alternative.
$24, 60, 120, 210, (...)$

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Fill in the blank space for the given series with the correct alternative.$24, 60, 120, 210, (...)$