SOLUTION: consider the sequence 1, 2/3,3/5,4/7,5/9,... describe the pattern formed in the sequence, find the next 3 terms.

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Question 389728: consider the sequence 1, 2/3,3/5,4/7,5/9,... describe the pattern formed in the sequence, find the next 3 terms.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The numerator increases by 1 for each successive term and the denominator increases by 2 (rewrite 1 as 1/1). Therefore,

a%5Bi%5D+=+i%2F%282i+-+1%29 where a[1] = 1.

The next three terms a_6, a_7, a_8 are 6/11, 7/13, 8/15 respectively.