Which number would replace the question mark | vedclass

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Question

(B) The given series is $2, 7, 14, 23, ?, 47$.Calculate the differences between consecutive terms:$7 - 2 = 5$$14 - 7 = 7$$23 - 14 = 9$The differences

Vedclass · Accepted Answer

$34$

Vedclass · Answer

(B) The given series is $2, 7, 14, 23, ?, 47$.Calculate the differences between consecutive terms:$7 - 2 = 5$$14 - 7 = 7$$23 - 14 = 9$The differences follow an arithmetic progression of odd numbers: $5, 7, 9, \dots$The next difference should be $9 + 2 = 11$.Therefore,the missing number is $23 + 11 = 34$.To verify,the next term would be $34 + 13 = 47$,which matches the series.

Which number would replace the question mark in the series $2, 7, 14, 23, ?, 47$?

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