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What should come in place of ‘?’ in the given series? 210, 195, 180, 165, 150, ?
135
140
145
125
135
Observe the constant difference: identify the common subtraction value between consecutive terms to find the next number.
Observe the constant difference: identify the common subtraction value between consecutive terms to find the next number.
Analyze the pattern
Calculate the difference between consecutive terms: 210 - 195 = 15; 195 - 180 = 15; 180 - 165 = 15; 165 - 150 = 15.
Extrapolate the sequence
Since the constant difference is -15, subtract 15 from the last given term: 150 - 15 = 135.
B: 140 is incorrect as it results from a subtraction of only 10, C: 145 is incorrect as it results from a subtraction of only 5, D: 125 is incorrect as it results from a subtraction of 25.
A is correct because the series follows a constant subtraction pattern of 15 from each preceding term, and 150 minus 15 equals 135.
For any number series, always find the difference between the first two terms and check if it holds for the rest before applying it to find the missing term.