Find the next number in the series: 7, 9, 13, | vedclass

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Question

(C) The pattern in the series is based on the addition of consecutive powers of $2$ or doubling the difference between consecutive terms.Step $1$: $9

Vedclass · Accepted Answer

$69$

Vedclass · Answer

(C) The pattern in the series is based on the addition of consecutive powers of $2$ or doubling the difference between consecutive terms.Step $1$: $9 - 7 = 2$Step $2$: $13 - 9 = 4$Step $3$: $21 - 13 = 8$Step $4$: $37 - 21 = 16$The differences are $2, 4, 8, 16$,which follow the pattern $2^1, 2^2, 2^3, 2^4$.The next difference should be $2^5 = 32$.Therefore,the next term is $37 + 32 = 69$.

Find the next number in the series: $7, 9, 13, 21, 37, ?$

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