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May 13th, 2017, 11:20 AM   #1
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Help With sequences and series.

Forgive me if this is the wrong section for this, but I study maths in French.
This is about sequences and series; to be more precise, it is about finding their nature, which is either divergent or convergent, by using different methods (Cauchy, D'Alembert, Reiman...). I study maths in French, so some things might not make sense since they are directly translated by me, but after all maths is one language.

I want to determine whether this sequence is convergent or divergent: Un=

Last edited by skipjack; May 13th, 2017 at 09:27 PM.
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May 23rd, 2017, 03:45 AM   #2
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Quote:
Originally Posted by MisterMaths View Post
Forgive me if this is the wrong section for this, but I study maths in French.
This is about sequences and series; to be more precise, it is about finding their nature, which is either divergent or convergent, by using different methods (Cauchy, D'Alembert, Reiman...). I study maths in French, so some things might not make sense since they are directly translated by me, but after all maths is one language.

I want to determine whether this sequence is convergent or divergent: Un=
Use the general formula with and .
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May 24th, 2017, 03:28 AM   #3
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if you have a hard time to understand County Boy's suggestion, then consider few things

1. second parenthesis is collection of terms in a form of i x^(n-a) * y ^(a-1) when a is from 1 to n

2. general expression T(a) = x^n-a * y^(a-1) suffice certain conditions in the cases
x^(n-1) < T(a) < y^(n-1)

3. so second term is within n* x^(n-1) and n* y^(n-1)

Last edited by akuraangran; May 24th, 2017 at 03:31 AM.
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