Question

36,4,18,8,9,16,? Find the missing number​

Answer 1

Answer:

Answer: The missing value is 4.5 or 9/2.

Step-by-step explanation:

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Answer 2

The missing term in the given sequence is 4.5 i.e. 9/2.

The given series consists of two sub-series with different logic. The two series are formed by taking the numbers alternatively from the pattern. The sub-sequences are :

• Sub-sequence 1 : 36, 18, 9, ?
• Sub-sequence 2 : 4, 8, 16

Sequence Logics :

• The first subsequence is a Geometric Progression with the common ratio as '1/2'. Each term is half of its preceding term in that sub-sequence.
• The second subsequence is a Geometric Progression with the common ratio as '2'. Each term is double its preceding term in that sub-sequence.

The missing term :

• The term previous to the missing term in the given pattern is '16' which belongs to the second subsequence.
• So, the missing term will belong to the first sub-sequence with a common ratio '1/2'.
• The term previous to the missing number in the first subsequence is 9.
• So, the missing number is half of 9 i.e. 4.5.

The missing term is 4th term in a GP with the first term 36 and common ratio 1/2. So, mathematically :

            $? = a_{4} = ar^{n-1}$

              $= 36 * (1/2)^{4-1}$

              $= 36 * (1/2)^{3}$

              $= 36 * (2*2*2)$

              $= 9/2$

              $= 4.5$

Hence, the missing term in the sequence is 4.5.      

To learn more about Missing Sequences, visit

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