Find the missing number in the series: 5, 13, | vedclass

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Question

(D) Analyze the differences between consecutive terms:$13 - 5 = 8$$25 - 13 = 12$$41 - 25 = 16$The differences are $8, 12, 16, \dots$,which form an ari

Vedclass · Accepted Answer

$61$

Vedclass · Answer

(D) Analyze the differences between consecutive terms:$13 - 5 = 8$$25 - 13 = 12$$41 - 25 = 16$The differences are $8, 12, 16, \dots$,which form an arithmetic progression with a common difference of $4$.Following this pattern,the next difference should be $16 + 4 = 20$.Therefore,the missing term is $41 + 20 = 61$.To verify,the next difference should be $20 + 4 = 24$,and $61 + 24 = 85$,which matches the next term in the series.Thus,the correct option is $D$.

Find the missing number in the series: $5, 13, 25, 41, ?, 85, 113, 145$.

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