Which one will replace the question mark in the given diagram above?
2025
Which one will replace the question mark in the given diagram above?
Answer: C. 39 — First, observe the sequence of numbers in the sectors: 3, 5, 8, 13, 22. Calculate the difference between consecutive terms: 5 - 3 = 2, 8 - 5 = 3, 13 - 8 = 5,…
- A.
45
- B.
25
- C.
39
- D.
78
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Correct answer: C
First, observe the sequence of numbers in the sectors: 3, 5, 8, 13, 22. Calculate the difference between consecutive terms: 5 - 3 = 2, 8 - 5 = 3, 13 - 8 = 5, and 22 - 13 = 9.
Next, find the differences between these results: 3 - 2 = 1, 5 - 3 = 2, and 9 - 5 = 4. These follow a pattern of powers of 2 (1, 2, 4). The next difference should be 8.
Thus, the next term in the first sequence of differences is 9 + 8 = 17. Finally, add this to the last number: 22 + 17 = 39.