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the next number to the sequence 2 5 11 20 32 47 is 65
the difference between 2 and 5 is 3, diff. of 5 and 11 is 6, 11 and 20, 9, 20 and 32, 12, 32 and 47, 15...
the difference between each number increases by 3. that is with the initial difference of 2 and 5 is 3, get the difference of 2 and 5, 3 and add 3, which will make it six, add it to 5 then you'll get 11. repeat the process then viola.
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65
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14
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The next number in the series is 65. You'll notice that each succeeding number gets a progressive multiple of 3 added to the previous number in the series. The first number is 2, and the next number 5 is 2+(3x1). The next number 11 is 5+(3x2), and so forth. To obtain the number following 47, we simply add to 47 the 6th multiple of 3 (because 47 is the sixth number in the series), that is, 47+(3x6) = 65.
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