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What should come in place of? in the given series?
23 26 31 38 47?
57
58
59
60
58
Observe the differences between consecutive terms; they follow a series of increasing consecutive odd numbers (3, 5, 7, 9, 11).
Observe the differences between consecutive terms; they follow a series of increasing consecutive odd numbers (3, 5, 7, 9, 11).
Analyze Differences
Calculate the difference between consecutive terms: 26-23=3, 31-26=5, 38-31=7, 47-38=9.
Identify Pattern
The differences (3, 5, 7, 9) form an arithmetic progression of consecutive odd numbers.
Apply Logic
The next difference must be 9 + 2 = 11. Therefore, add 11 to the last term: 47 + 11 = 58.
A: 57 is incorrect as the addition logic (47+10) does not follow the odd number progression; C: 59 results from incorrect increment logic; D: 60 results from adding 13 instead of 11.
B is correct because the series follows a pattern of adding consecutive odd numbers, where 47 + 11 = 58.
Always check the difference between consecutive terms first in any number series question. If the difference is changing, check for arithmetic progressions or squares/cubes!