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In Mathematics / Middle School | 2014-09-30

What is the missing number in the sequence 12, 24, 72, 288, ______?

Asked by taylorperry

Answer (2)

The pattern in this is n ∗ ( x + 1 ) , where n is the previous number in the sequence and x is the number you multiplied a number by to get the previous number. You start with twelve times two, then increase the number you multiply by by one.
12 ∗ 2 = 24 24 ∗ 3 = 72 72 ∗ 4 = 288
n ∗ ( x + 1 ) 288 ∗ ( 4 + 1 ) 288 ∗ 5 1440
The next number in the sequence is 1440 .

Answered by iloveonedirection | 2024-06-10

The missing number in the sequence 12, 24, 72, 288 is 1440. This is found by recognizing a pattern where each number is multiplied by an increasing integer starting from 2. Thus, 288 multiplied by 5 gives the next number, which is 1440.
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Answered by iloveonedirection | 2025-03-24