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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 329, 472, 615, 758, 901,?
1068
1082
1044
1025
1044
The series increases by a constant common difference of 143. Add 143 to the last term (901) to get the missing number.
The series increases by a constant common difference of 143. Add 143 to the last term (901) to get the missing number.
Analyze the difference between terms
Find the difference between consecutive numbers: 472 - 329 = 143, 615 - 472 = 143, 758 - 615 = 143, 901 - 758 = 143.
Establish the rule
The pattern is a constant addition of 143 to each preceding term (n + 143).
Calculate the final term
Apply the rule to the last term: 901 + 143 = 1044.
A: 1068, B: 1082, and D: 1025 are incorrect as they do not follow the consistent additive pattern of +143 established by the preceding sequence.
C is correct because the series follows a consistent addition of 143 to each term, and 901 + 143 equals 1044.
In number series, always calculate the differences between consecutive terms first. If the differences are constant, it is a simple arithmetic progression.
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