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xuvaze

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

  4. myininaya
    • 9 months ago
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    Notice the denominators are all even.

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

  6. xuvaze
    • 9 months 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. xuvaze
    • 9 months ago
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    @myininaya thanks for the hint! @sourwing - may I ask how you got that answer?

  8. sourwing
    • 9 months 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
    • 9 months 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. xuvaze
    • 9 months 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. xuvaze
    • 9 months ago
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    Thanks for the help guys! I really appreciate it. :)

  12. jdoe0001
    • 9 months ago
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    eheheh

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

  14. jdoe0001
    • 9 months ago
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    the file is not relevant btw =)

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

  16. xuvaze
    • 9 months 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
    • 9 months ago
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    indeed

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