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hayden4290

  • 2 years ago

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.

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  1. cwrw238
    • 2 years ago
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    note that the numerators are 1,2,3,4,5 and denominators are 1,3,5,7,9

  2. cwrw238
    • 2 years ago
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    both these are arithmetic sequences

  3. cwrw238
    • 2 years ago
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    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))

  4. cwrw238
    • 2 years ago
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    the next 3 terms are 6/11, 7/13 and 8/15.

  5. cwrw238
    • 2 years ago
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    simplifying the nth term gives n / (2n-1)

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