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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.

Trigonometry
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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))

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Other answers:

the next 3 terms are 6/11, 7/13 and 8/15.
simplifying the nth term gives n / (2n-1)

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