Which of the following numbers will replace the question mark (?) in the given series?23, 25, 28, 33, ?, 51, 64
- A39
- B40
- C41
- D38
Solution & Step-by-step Explanation
Let's find the differences between consecutive terms: Notice that the differences are , which are consecutive prime numbers.Following this pattern, the next difference should be the next prime number, which is .Let the missing term be .Let's check if the subsequent differences follow the same prime number pattern:Next prime number after is . (Matches the next term)Next prime number after is . (Matches the last term)The pattern is perfectly validated. The missing number is 40.