Fill in the blank space for the given series | vedclass

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Question

(A) The pattern in the series is that the numbers are alternately multiplied by $2$ and increased by $3$.Step-by-step analysis:$5 	imes 2 = 10$ (Wait

Vedclass · Accepted Answer

$122$

Vedclass · Answer

(A) The pattern in the series is that the numbers are alternately multiplied by $2$ and increased by $3$.Step-by-step analysis:$5 	imes 2 = 10$ (Wait,the series is $5, 16, 13, 26, 29, 58, 61, \dots$)Let's re-evaluate the pattern:$5 + 11 = 16$$16 - 3 = 13$$13 + 13 = 26$$26 + 3 = 29$$29 + 29 = 58$$58 + 3 = 61$Actually,the pattern is: add $11$,subtract $3$,add $13$,add $3$,add $29$,add $3$. This is inconsistent.Let's look at the pattern again: $5 	imes 2 + 6 = 16$,$16 - 3 = 13$,$13 	imes 2 = 26$,$26 + 3 = 29$,$29 	imes 2 = 58$,$58 + 3 = 61$.Following the pattern of multiplying by $2$ and adding $3$ alternately starting from $13$:$13 	imes 2 = 26$$26 + 3 = 29$$29 	imes 2 = 58$$58 + 3 = 61$$61 	imes 2 = 122$.Therefore,the missing number is $122$.

Fill in the blank space for the given series with the correct alternative.
$5, 16, 13, 26, 29, 58, 61, (\dots)$

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Fill in the blank space for the given series with the correct alternative.$5, 16, 13, 26, 29, 58, 61, (\dots)$