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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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What comes next in the series: 512, 490, 470, 452, 436,?
422
420
418
424
422
Observe the shrinking gaps between numbers: the differences themselves form a decreasing arithmetic progression (22, 20, 18, 16, 14).
Observe the shrinking gaps between numbers: the differences themselves form a decreasing arithmetic progression (22, 20, 18, 16, 14).
Analyze the differences between consecutive terms
512 - 490 = 22; 490 - 470 = 20; 470 - 452 = 18; 452 - 436 = 16. The pattern of subtraction is decreasing by 2 each time.
Determine the next difference and calculate
Following the pattern 22, 20, 18, 16, the next difference must be 16 - 2 = 14. Subtracting this from the last term: 436 - 14 = 422.
B: 420 is wrong as it implies a gap of 16, C: 418 is wrong as it implies a gap of 18, D: 424 is wrong as it implies a gap of 12.
A is correct because the series follows a pattern of subtracting consecutive even numbers starting from 22, and 436 minus 14 equals 422.
In any number series, if the numbers are decreasing slowly, always check the difference between consecutive terms first; often, those differences themselves form a simple arithmetic sequence.