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xuvaze Group Title

Write a possible explicit rule for the nth term: 1/2, 1/4, 1/6, 1/8, 1/10

  • 5 months ago
  • 5 months ago

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  1. xuvaze Group Title
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    Any help would be greatly appreciate! I have been stuck on this problem for about an hour. It's the last one and the most difficult! First differences are not constant, neither are the second differences or ratios. I'm confused as to how I'm supposed to tackle this problem.

    • 5 months ago
  2. tkhunny Group Title
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    If it were me, I would write the Prime Factorization of all the Denominators. This may lead to something obvious.

    • 5 months ago
  3. xuvaze Group Title
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    @tkhunny - Am I supposed to figure out the least common denominator between all of them?

    • 5 months ago
  4. myininaya Group Title
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    Notice the denominators are all even.

    • 5 months ago
  5. sourwing Group Title
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    a(n) = 1/(2n)

    • 5 months ago
  6. xuvaze Group Title
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    @tkhunny - 1/2: 2 x 1 , 1/4: 2 x 2 , 1/6,: 3 x 2, 1/8: 4 x 2; 2 x 2 x 2, 1/10: 5 x 2 I do see a pattern here! :)

    • 5 months ago
  7. xuvaze Group Title
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    @myininaya thanks for the hint! @sourwing - may I ask how you got that answer?

    • 5 months ago
  8. sourwing Group Title
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    well, 2 = 2*1 4 = 3*2 6 = 2*n ... so 1/(2n) there's not much else I can say except the pattern is obvious

    • 5 months ago
  9. tkhunny Group Title
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    2*1 2*2 2*3 2*4 2*5 Are you SURE you don't see a pattern?

    • 5 months ago
  10. xuvaze Group Title
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    @sourwing - that's what I thought. I was just making sure. :p @tkhunny - Yes, I do see a pattern. I already said that I did!

    • 5 months ago
  11. xuvaze Group Title
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    Thanks for the help guys! I really appreciate it. :)

    • 5 months ago
  12. jdoe0001 Group Title
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    eheheh

    • 5 months ago
  13. tkhunny Group Title
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    My b. Didn't read the whole thread. :-)

    • 5 months ago
  14. jdoe0001 Group Title
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    the file is not relevant btw =)

    • 5 months ago
  15. jdoe0001 Group Title
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    just putting up a file for a quick link, is all =)

    • 5 months ago
  16. xuvaze Group Title
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    @jdoe0001 - I suggest using imgur for that. I don't want you to get in trouble for posting irrelevant information on an already closed question!

    • 5 months ago
  17. jdoe0001 Group Title
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    indeed

    • 5 months ago
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