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What should come in place of the question mark (?) in the given series? 64 61.7 59.4 57.1 ? 52.5
54.8
53.1
55.4
56.7
54.8
Observe the constant difference between consecutive terms. Each term decreases by 2.3 from the previous one.
Observe the constant difference between consecutive terms. Each term decreases by 2.3 from the previous one.
Analyze the difference
Calculate the difference between consecutive terms: 64 - 61.7 = 2.3, 61.7 - 59.4 = 2.3, 59.4 - 57.1 = 2.3.
Apply the pattern
Since the sequence is decreasing by a constant value of 2.3, subtract 2.3 from the last known term: 57.1 - 2.3 = 54.8.
Verify with the final term
Check the next step: 54.8 - 2.3 = 52.5, which matches the series end term.
B: 53.1 is incorrect because the decrement must be 2.3, not 4.0; C: 55.4 is incorrect as it represents an addition; D: 56.7 is incorrect as it is only a 0.4 decrease.
A is correct because the series follows a constant subtraction pattern of 2.3, leading to 57.1 - 2.3 = 54.8.
In decimal series, always check the difference of the first two terms immediately; if the difference is consistent, apply it straight across the series.
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