What should replace the question mark (?) in the following number series? 14,…
2026
What should replace the question mark (?) in the following number series?
14, 23, 32, 41, 50, ?
Answer: A. 59 — CONCEPTIn an arithmetic sequence, consecutive terms differ by a constant common difference. To identify the rule, subtract each term from the term that…
- A.
59
- B.
61
- C.
57
- D.
63
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Correct answer: A
CONCEPT
In an arithmetic sequence, consecutive terms differ by a constant common difference.
To identify the rule, subtract each term from the term that follows it.
APPLICATION
Compute the successive differences: 23 − 14 = 9, 32 − 23 = 9, 41 − 32 = 9, and 50 − 41 = 9.
The common difference is therefore 9, so add 9 to the last known term: 50 + 9 = 59.
CROSS-CHECK
Starting from 14 and repeatedly adding 9 gives 14, 23, 32, 41, 50, 59, which reproduces every given term in order.
Thus, the missing term is 59.