SOLUTION: What is the next three terms of sequence, 1/5, 2/7, 4/9, 8/11, 16/13

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Question 1164187: What is the next three terms of sequence, 1/5, 2/7, 4/9, 8/11, 16/13
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
looking at the denominators, the sequence is 5,7,9,11,13.
based on that, i would say the denominators of the next 3 numbers in the sequence would be 15,17,19
looking at the numberators, the sequence is 1,2,4,8,16
each succeeding term is double the previous term.
based on that, i would say the numerators of the next 3 numbers in the sequence would be 32,64,128
putting the numerators and denominators together gets you 32/15, 64/17, 128/19 as the next 3 numbers in the sequence.
the sequence becomes:
1/5, 2/7, 4/9, 8/11, 16/13, 32/15, 64/17, 128/19