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anonymous

  • 5 years ago

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. asubscriptn=3^n/4^n

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  1. anonymous
    • 5 years ago
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    I believe that is harmonic?

  2. anonymous
    • 5 years ago
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    I am working on the first section and we haven't reached that point yet. We only have the squeeze theorem and absolute value and bounded monotonic to choose from.

  3. anonymous
    • 5 years ago
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    hmmn, I just took calc II, and didn't learn those, let me refer to my notes and get back to you

  4. anonymous
    • 5 years ago
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    Thanks! Much appreciated.

  5. anonymous
    • 5 years ago
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    It can be written as (3/4)^n which makes it a geometric series. r=3/4 which is less than 1 and greater than -1, so it is convergent and its value is a/(1-r). So plugging things in, it converges at 4.

  6. anonymous
    • 5 years ago
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    okay Thank you :)

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