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anonymous

  • 2 years ago

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

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  1. anonymous
    • 2 years ago
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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.

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

  3. anonymous
    • 2 years ago
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    @tkhunny - Am I supposed to figure out the least common denominator between all of them?

  4. myininaya
    • 2 years ago
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    Notice the denominators are all even.

  5. anonymous
    • 2 years ago
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    a(n) = 1/(2n)

  6. anonymous
    • 2 years ago
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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! :)

  7. anonymous
    • 2 years ago
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    @myininaya thanks for the hint! @sourwing - may I ask how you got that answer?

  8. anonymous
    • 2 years ago
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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

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

  10. anonymous
    • 2 years ago
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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!

  11. anonymous
    • 2 years ago
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    Thanks for the help guys! I really appreciate it. :)

  12. jdoe0001
    • 2 years ago
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    eheheh

  13. tkhunny
    • 2 years ago
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    My b. Didn't read the whole thread. :-)

  14. jdoe0001
    • 2 years ago
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    the file is not relevant btw =)

  15. jdoe0001
    • 2 years ago
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    just putting up a file for a quick link, is all =)

  16. anonymous
    • 2 years ago
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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!

  17. jdoe0001
    • 2 years ago
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    indeed

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