Find the missing number in the series: 5, 8, | vedclass

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Question

(B) Analyze the differences between consecutive terms in the series:$8 - 5 = 3$$12 - 8 = 4$$17 - 12 = 5$$23 - 17 = 6$The differences are increasing by

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(B) Analyze the differences between consecutive terms in the series:$8 - 5 = 3$$12 - 8 = 4$$17 - 12 = 5$$23 - 17 = 6$The differences are increasing by $1$ each time $(3, 4, 5, 6, ...)$.Following this pattern,the next difference should be $7$.Therefore,$? - 23 = 7$,which gives $? = 23 + 7 = 30$.To verify,the next difference should be $8$: $38 - 30 = 8$,which matches the pattern.Thus,the missing number is $30$.

Find the missing number in the series: $5, 8, 12, 17, 23, ?, 38$.

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