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What should come in place of the question mark (?) in the given series? 1023 1024 1027 1032 1039?
1046
1048
1045
1047
1048
Observe the differences between consecutive terms; they follow a sequence of consecutive odd numbers starting from 1 (1, 3, 5, 7, 9).
Observe the differences between consecutive terms; they follow a sequence of consecutive odd numbers starting from 1 (1, 3, 5, 7, 9).
Analyze the difference between consecutive terms
Calculate the difference between adjacent numbers: 1024 - 1023 = 1; 1027 - 1024 = 3; 1032 - 1027 = 5; 1039 - 1032 = 7.
Identify the pattern and apply to the final term
The differences are 1, 3, 5, 7, which are consecutive odd numbers. The next odd number is 9. Adding this to the last term: 1039 + 9 = 1048.
A: 1046 is incorrect as the difference from 1039 is 7, not 9. C: 1045 is incorrect because it uses an addition of 6. D: 1047 is incorrect because it uses an addition of 8.
B is correct because the series follows an addition pattern of consecutive odd numbers (1, 3, 5, 7, 9), making the final term 1039 + 9 = 1048.
When the differences between terms are small, always list them out first; this reveals if the pattern is a simple addition, multiplication, or a secondary series of differences.
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