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.9,11,17,35,89,?
Correct answer: D. 251
- A. 143
- B. 197
- C. 250
- D. 251
Explanation
To solve the sequence, observe the differences between consecutive terms:11 - 9 = 217 - 11 = 635 - 17 = 1889 - 35 = 54The sequence of differences is 2, 6, 18, 54, where each term is a multiple of 3 times the previous one.2 × 3 = 66 × 3 = 1818 × 3 = 54Hence, the next difference should be:54 × 3 = 162Add this difference to the last term:89 + 162 = 251The correct answer is 251. The other options do not follow this mathematical pattern.
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