Find the missing term in the sequence 5, 11, 17,?, 31, 41.

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answer is C.

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Detailed Solution

Concept- In order to compare the first three terms in this question, we will first consider the given sequence to be an arithmetic progression.
The given series is 5, 11, 17,?, 31, 41
We can observe that they all are prime numbers.
We know that a prime number is a natural integer larger than 1 that is not the product of two smaller natural numbers.
A composite number is a natural number greater than one that is not prime.
Let's examine the following number sequence: 5, 11, 17,? , 31, 41.
The prime numbers from 2 to 50 will be written as 2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47.
By examining the above prime numbers, we can deduce our sequence. The alternate prime numbers form up the series. Thus, the provided sequence can be completed as 5, 11, 17, 23, 31, 41.
Thus, we discovered that the missing number in the series 5, 11, 17, 23, 31, and 41 is 23.
Hence, the correct answer is option (3).

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