Question

Find the missing term in the series 9, 3, 18, 6, 36, 12 ….

Answer 1

Hint: First, we have to analyze the series given in the question. In this series we can see 2 kinds of patterns are being followed. First pattern is 9, 18, 36 …. In this every next term is double of the previous terms. Second pattern is 3, 6, 12 …. In this also every next term is double of the previous term. So, we will find the answer according to this.

Complete step-by-step answer:
The series given in the question is 9, 3, 18, 6, 36, 12…
We have to find the next term.
For that we have to analyze the series. In this series 2 patterns are followed.
First one is 9, 18, 36
$9 + 9 = 18$
$18 + 18 = 36$
So, this indicates that every next term is double of the previous term.
The second pattern is 3, 6, 12
$3 + 3 = 6$
$6 + 6 = 12$
So, this also indicates that every next term is double of the previous term.
So, the series in the question is made from the term of first pattern and next term from second pattern and then next term is of first pattern and then second pattern. This is being followed in the entire series.
The last term is from the second pattern so, the next term would be from the first pattern.
To find the missing term we have to double the last term of the first pattern.
So, $36 + 36 = 72$
Hence, the missing value is 72.
So, the correct answer is “72”.

Note: The key step for solving this problem is the knowledge of series and basic skills of observation. By observing the pattern, we can easily predict the next element in the series. This knowledge is useful for solving complex problems.