Question

# $9,3,18,6,36,12.....$Missing letter in this series.

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Solution

## Step-1: Understand the pattern from the given question.The given series is $9,3,18,6,36,12.....$There are two patterns in the given series.First pattern is $9,18,36$ This pattern follows: $9+9=18,18+18=36$( addition of the preceding terms to itself to get the next term in the series)The second pattern is$3,6,12$Therefore, the pattern follows: $3+3=6,6+6=12$( addition of the preceding terms to itself to get the next term in the series)Step-2: Find the missing term For the first pattern; $36+36=72$( $36$is the last given number in the first pattern of the series, so we need to add $36$to itself to get the next term in the series)For the second pattern; $12+12=24$( $12$is the last given number in the second pattern of the series, so we need to add $12$to itself to get the next term in the series)Hence, the missing numbers are $72$ and $24$So, the series is $9,3,18,6,36,12,72,24,\dots$

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