Which number will replace the question mark (?) in the following series? 2, 7,…
2019
Which number will replace the question mark (?) in the following series?
2, 7, 14, 23, ?, 47
Answer: D. 34 — Find the differences between consecutive terms of the series: 7 − 2 = 5 14 − 7 = 7 23 − 14 = 9 ? − 23 = 11 → ? = 23 + 11 = 34 47 − 34 = 13 The differences are…
- A.
37
- B.
32
- C.
30
- D.
34
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Correct answer: D
Find the differences between consecutive terms of the series:
7 − 2 = 5
14 − 7 = 7
23 − 14 = 9
? − 23 = 11 → ? = 23 + 11 = 34
47 − 34 = 13
The differences are consecutive odd numbers: +5, +7, +9, +11, +13. Adding 11 to 23 gives the missing term, 34.
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