Directions: In the following question, a number sequence is given with one term missing. Choose the correct term that will continue the same pattern and replace the question mark in the given sequence.2,5,9,?,20,27
Correct answer: A. 14
- A. 14
- B. 16
- C. 18
- D. 24
Explanation
The given sequence is 2, 5, 9, ?, 20, 27. To find the missing term, first determine the differences between consecutive terms: 5 - 2 = 3, 9 - 5 = 4, and 27 - 20 = 7. The differences form a pattern: 3, 4, ?, 6, 7, where each difference increases by 1. Therefore, the missing difference is 5. Adding 5 to 9 gives the missing term: 14.Other options do not fit the pattern of differences: 16 results in a difference of 7, which repeats the existing difference from 20 to 27; 18 results in a difference of 9; 24 results in a difference of 15. None of these maintain the sequential increase of differences by 1.
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