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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? 81, 108.6, 136.2, 163.8,?
198.2
191.4
183.6
174.8
191.4
Observe the constant difference between consecutive terms by calculating the gap between the first two numbers (108.6 - 81 = 27.6).
Observe the constant difference between consecutive terms by calculating the gap between the first two numbers (108.6 - 81 = 27.6).
Analyze the difference between terms
Calculate the difference between consecutive terms in the series: 108.6 - 81 = 27.6, 136.2 - 108.6 = 27.6, 163.8 - 136.2 = 27.6.
Apply the pattern to find the missing term
Since the common difference is 27.6, add 27.6 to the last term: 163.8 + 27.6 = 191.4.
A: 198.2 is incorrect because the difference from 163.8 is 34.4, not 27.6. C: 183.6 is incorrect because the difference from 163.8 is 19.8, not 27.6. D: 174.8 is incorrect because the difference from 163.8 is 11.0, not 27.6.
B is correct because the series follows an arithmetic progression with a constant common difference of 27.6, and 163.8 + 27.6 = 191.4.
When working with decimals in series, convert the decimal difference into a fraction if necessary, or simply perform vertical subtraction to identify the constant step quickly.
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