3480
(original x2 x4 x6 x8)
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1x2=2 2x4=8 8x6=48 48x8=384 so x2 then x4 then x6 then x8
16*3 = 48
Any number that you choose can be the next number in the sequence (not series). It is easy to find a rule based on a polynomial of order 5 such that the first five numbers are as listed in the question followed by the chosen next number. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.The simplest polynomial of order 4 ist(n) = (197*n^4 - 1854*n^3 + 6259*n^2 - 8730*n - 4152)/24 and accordingly, the next number should be 1331.
48 is a multiple of 6, so the next one is: 48 + 6 = 54.
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