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LollyLau

  • 5 years ago

1/3+1/1+1/4+1/1+1/5+1/9+... should the answer be infty or indeterminate?

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  1. ash2326
    • 5 years ago
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    this sequence has no definite pattern, can't say what will be the answer indeterminate

  2. LollyLau
    • 5 years ago
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    its the sum of the reciprocal of the expansion of pi.

  3. ash2326
    • 5 years ago
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    check this out http://www.wolframalpha.com/input/?i=1%2F3%2B1%2F1%2B1%2F4%2B1%2F1%2B1%2F5%2B1%2F9%2B...+&cdf=1

  4. LollyLau
    • 5 years ago
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    it contains 1/0. (alot of 1/0s.)

  5. LollyLau
    • 5 years ago
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    the sum you gave me isn't complete.

  6. LollyLau
    • 5 years ago
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    and it shouldn't be :p

  7. ash2326
    • 5 years ago
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    yeah :)

  8. phi
    • 4 years ago
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    Does this help? http://en.wikipedia.org/wiki/Harmonic_series_(mathematics)

  9. LollyLau
    • 4 years ago
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    Not really. I know about the harmonic series, and doesn't really help much. The sum contains alot of 1/0s, so I've been wondering what the sum should be.

  10. phi
    • 4 years ago
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    After the ninth term, the harmonic series has numbers less than 1/9 Your series will have a term >= 1/9 If harmonic diverges, and your series has terms > harmonic's then yours must diverge

  11. LollyLau
    • 4 years ago
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    Divergence means its indeterminate?

  12. phi
    • 4 years ago
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    Eventually you will get a 1/0 in your series From wikipedia: The expression 1/0 is not commonly regarded as an indeterminate form because there is not an infinite range of values that f/g could approach. i.e. the series diverges to + infinity

  13. LollyLau
    • 4 years ago
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    I don't rly understand it, but thanks a lot :)

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