Here's the question you clicked on:
hayden4290
Consider the sequence 1, 2/3, 3/5, 4/7, 5/9 . a.Describe the pattern formed in the sequence. b. Find the next three terms.
note that the numerators are 1,2,3,4,5 and denominators are 1,3,5,7,9
both these are arithmetic sequences
numerators have first term 1 and common difference 1 denominator have first term 1 and common difference 2 nth term can be written as n / (1 + 2(n- 1))
the next 3 terms are 6/11, 7/13 and 8/15.
simplifying the nth term gives n / (2n-1)