The common difference is 13 because 21-8=13, 34-21=13, and 34-47=13.
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47
21/34. 21 and 34 have no common factors (21=3x7, 34=2x17) so it's impossible to reduce it any further.
34
The answer is 34. The full sequence is called the Fibonachi series. Your sequence is 3 5 8 13 21 3 + 5= 8 8 + 13 = 21 Therefore: 13 + 21 = 34
21 and 13.. 21-13=8 21+13=34 34/2 = 17,+4 = 21... 34-21 = 13