The next number is 13... you're adding the previous two numbers together to produce the next in line.
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Answer = 21 The next number is the previous 2 numbers added together
This sequence is the squaring of the numbers 1, 3, 5, and 7. The next number is 9^2 = 81.
1/2 then 1/4 1/8 1/16 1/32
16' then 25 and then 36 et.seq. The clue is 0,1,4,9,16,25,36, ... = 0^(2) , 1(2) , 2^(2), 3^(2) , 4^(2) , 5^(2) , 6^(2), ... n^(2) ...