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Starting Index of a Series

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0

$begingroup$

I'm doing a question where I need to find a general expression for the $a_n$ term in a series, and then find the "starting index of $n$".

I've found the general $a_n$, but I don't know what is meant by the "starting index of $n$"? I can't find any explanation or definition. Can anyone explain it to me?

real-analysis sequences-and-series

share|cite|improve this question

asked Mar 12 at 10:47

bigscbigsc

82

New contributor

bigsc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Can you give more details ?
  $endgroup$
  – Mauro ALLEGRANZA
  Mar 12 at 10:48
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  We may represent a Series either as $a_0 + ldots$ or as $a_1 + ldots$.
  $endgroup$
  – Mauro ALLEGRANZA
  Mar 12 at 10:49
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Most usually, the issue is : must we start at index $0$ or index $1$ ? For example series $sum 1/n$ should start at index $n=1$.
  $endgroup$
  – Jean Marie
  Mar 12 at 10:50
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  May be meaning $$sum_k=n^infty a_k$$
  $endgroup$
  – Mostafa Ayaz
  5 hours ago
  

  
  
  
  

add a comment | 

0

$begingroup$

I'm doing a question where I need to find a general expression for the $a_n$ term in a series, and then find the "starting index of $n$".

I've found the general $a_n$, but I don't know what is meant by the "starting index of $n$"? I can't find any explanation or definition. Can anyone explain it to me?

real-analysis sequences-and-series

share|cite|improve this question

asked Mar 12 at 10:47

bigscbigsc

82

New contributor

bigsc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Can you give more details ?
  $endgroup$
  – Mauro ALLEGRANZA
  Mar 12 at 10:48
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  We may represent a Series either as $a_0 + ldots$ or as $a_1 + ldots$.
  $endgroup$
  – Mauro ALLEGRANZA
  Mar 12 at 10:49
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Most usually, the issue is : must we start at index $0$ or index $1$ ? For example series $sum 1/n$ should start at index $n=1$.
  $endgroup$
  – Jean Marie
  Mar 12 at 10:50
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  May be meaning $$sum_k=n^infty a_k$$
  $endgroup$
  – Mostafa Ayaz
  5 hours ago
  

  
  
  
  

add a comment | 

$begingroup$

I'm doing a question where I need to find a general expression for the $a_n$ term in a series, and then find the "starting index of $n$".

I've found the general $a_n$, but I don't know what is meant by the "starting index of $n$"? I can't find any explanation or definition. Can anyone explain it to me?

real-analysis sequences-and-series

share|cite|improve this question

asked Mar 12 at 10:47

bigscbigsc

82

New contributor

bigsc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

asked Mar 12 at 10:47

bigscbigsc

82

New contributor

bigsc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

asked Mar 12 at 10:47

bigscbigsc

82

New contributor

bigsc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 12 at 10:47

bigscbigsc

82

New contributor

bigsc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 12 at 10:47

bigscbigsc

82