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.3,10,33,104,?
Correct answer: C. 319
- A. 310
- B. 312
- C. 319
- D. 315
Explanation
To solve the sequence, we first find the differences between consecutive terms:10 - 3 = 733 - 10 = 23104 - 33 = 71These differences are 7, 23, and 71. Next, we examine the differences between these differences:23 - 7 = 1671 - 23 = 48The differences between differences are 16 and 48, which increase by a factor of 3. Continuing this pattern, we multiply 48 by 3:48 × 3 = 144Adding 144 to the last difference (71):71 + 144 = 215Finally, adding this new difference (215) to the last term in the sequence (104):104 + 215 = 319Thus, the correct answer is 319.Other options are incorrect as they either miscalculate the pattern or the final addition.
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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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