My Math Forum Help With sequences and series.

 Linear Algebra Linear Algebra Math Forum

 May 13th, 2017, 11:20 AM #1 Newbie   Joined: Dec 2016 From: Morocco Posts: 2 Thanks: 0 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.
May 23rd, 2017, 03:45 AM   #2
Math Team

Joined: Jan 2015
From: Alabama

Posts: 3,244
Thanks: 887

Quote:
 Originally Posted by MisterMaths 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 $x^n- y^n= (x- y)(x^{n-1}+ x^{n-2}y+ \cdot\cdot\cdot+ xy^{n-2}+ y^{n-1})$ with $x= \sqrt[n]{n+1}$ and $y= \sqrt[n]{n}$.

 May 24th, 2017, 03:28 AM #3 Newbie   Joined: May 2017 From: south korea Posts: 7 Thanks: 0 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.

 Tags sequences, series

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post christy Algebra 1 July 5th, 2013 09:31 AM bilano99 Algebra 4 October 28th, 2011 07:09 AM bilano99 Algebra 2 October 26th, 2011 03:24 PM cindyyo Algebra 2 August 24th, 2008 01:25 AM cindyyo Algebra 2 August 20th, 2008 02:40 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top