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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Complete the series: 100, 95, 85, 70, 50, ?
25
30
35
40
25
Spot the decreasing difference pattern where the subtracted value increases by 5 each step (-5, -10, -15, -20, -25).
Spot the decreasing difference pattern where the subtracted value increases by 5 each step (-5, -10, -15, -20, -25).
Analyze the differences
Calculate the difference between consecutive terms: 100 - 95 = 5, 95 - 85 = 10, 85 - 70 = 15, and 70 - 50 = 20.
Identify the sequence of differences
The differences form an arithmetic progression increasing by 5: 5, 10, 15, 20. Therefore, the next difference must be 25.
Calculate the missing term
Subtract the next difference (25) from the last given term (50): 50 - 25 = 25.
B: 30 is incorrect because it results from subtracting 20 instead of 25. C: 35 is incorrect because it results from subtracting 15. D: 40 is incorrect because it results from subtracting 10.
A is correct because the differences between consecutive terms increase by 5 sequentially (-5, -10, -15, -20, -25), making the final term 50 - 25 = 25.
When differences between terms are not constant, always check the pattern of the differences themselves for a second-order arithmetic progression.
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