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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 is3,6,12

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( 36is the last given number in the first pattern of the series, so we need to add 36to itself to get the next term in the series)

For the second pattern; 12+12=24( 12is the last given number in the second pattern of the series, so we need to add 12to 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,


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