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What is the missing number 12,24,72,288 ______

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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.
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