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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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Find the missing number in the series: 12, 24, 72, 288,?
1440
1152
864
576
1440
Observe the growth rate: the series increases rapidly, indicating multiplication by increasing factors (x2, x3, x4, x5).
Observe the growth rate: the series increases rapidly, indicating multiplication by increasing factors (x2, x3, x4, x5).
Analyze the pattern
Look at the ratio between consecutive numbers: 24/12 = 2, 72/24 = 3, 288/72 = 4. The multiplier increases by 1 each time (2, 3, 4).
Calculate the next term
Following the pattern of multiplying by consecutive integers, the next multiplier must be 5. Therefore, 288 multiplied by 5 equals 1440.
B: 1152 is 288 ×4,representing the previous step, not the final one. C: 864 is 288 ×3,an incorrect multiplier. D: 576 is 288 ×2,failing to account for the sequential increment.
A is correct because the series follows a pattern of multiplying each term by increasing integers (x2, x3, x4, x5), resulting in 288 x 5 = 1440.
When a series jumps significantly in value, always test for multiplication or powers rather than addition.