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.2,6,15,34,73,?
Correct answer: A. 152
- A. 152
- B. 150
- C. 151
- D. 153
Explanation
The sequence given is: 2, 6, 15, 34, 73, ?. To find the missing term, calculate the differences between consecutive terms:6 - 2 = 415 - 6 = 934 - 15 = 1973 - 34 = 39Now, consider the differences: 4, 9, 19, 39. Next, find the second-level differences:9 - 4 = 519 - 9 = 1039 - 19 = 20These second-level differences are: 5, 10, 20, doubling each time. The next second-level difference should be 40 (20 × 2). Thus, the next first-level difference is:39 + 40 = 79Adding this to the last known term gives:73 + 79 = 152Therefore, the correct answer is 152. The other options do not fit the pattern of differences correctly.
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About Letter, Symbol and Number Series
Series questions use numbers, letters, symbols or combinations arranged according to a hidden pattern. You may need to identify repeated operations, alternating rules, alphabetical positions, differences, reversals and mixed sequences to find a missing term or predict the next one.
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