Find the missing number in the series: 5, 6, | vedclass

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Question

(B) The given series is $5, 6, 9, 15, ?, 40$.Let's analyze the differences between consecutive terms:$6 - 5 = 1$$9 - 6 = 3$$15 - 9 = 6$The differences

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(B) The given series is $5, 6, 9, 15, ?, 40$.Let's analyze the differences between consecutive terms:$6 - 5 = 1$$9 - 6 = 3$$15 - 9 = 6$The differences are $1, 3, 6, ...$Now,let's look at the differences of these differences:$3 - 1 = 2$$6 - 3 = 3$This shows that the second-level differences are increasing by $1$ $(2, 3, 4, 5, ...)$.Following this pattern,the next difference in the first level should be $6 + 4 = 10$.Therefore,the missing number is $15 + 10 = 25$.To verify,the next difference should be $10 + 5 = 15$,and $25 + 15 = 40$,which matches the last term in the series.Thus,the missing number is $25$.

Find the missing number in the series: $5, 6, 9, 15, ?, 40$.

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