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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? 19, 26, 33, 40, 47,?
54
52
51
53
54
Observe that the difference between consecutive numbers is a constant value of 7; simply add 7 to the last term.
Observe that the difference between consecutive numbers is a constant value of 7; simply add 7 to the last term.
Analyze the pattern
Find the difference between consecutive terms: 26 - 19 = 7, 33 - 26 = 7, 40 - 33 = 7, 47 - 40 = 7.
Calculate the next term
Since the constant difference is 7, the next term in the series is 47 + 7 = 54.
B: 52 is incorrect because the difference from 47 is 5; C: 51 is incorrect because the difference from 47 is 4; D: 53 is incorrect because the difference from 47 is 6.
A is correct because the series follows an arithmetic progression with a common difference of 7, making the next term 47 + 7 = 54.
In number series, always calculate the difference between the first few terms to check for constant additive patterns before looking for more complex operations like squares or cubes.
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