Starting Index of a SeriesSolution to the geometric progression starting from an arbitrary index?General form of a series (another one).Determine the sum of the given seriesGeneral formula of Fibonacci look alike seriesQuestion regarding convergent seriesWhat is the difference between convergence of a sequence and convergence of a series?Convergent series with general term greater than the one of a divergent seriesTruncation Test Series and SequencesTesting end points of the interval of convergence of a series.Finding the radius of convergence of a cubic Taylor series
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Starting Index of a Series
Solution to the geometric progression starting from an arbitrary index?General form of a series (another one).Determine the sum of the given seriesGeneral formula of Fibonacci look alike seriesQuestion regarding convergent seriesWhat is the difference between convergence of a sequence and convergence of a series?Convergent series with general term greater than the one of a divergent seriesTruncation Test Series and SequencesTesting end points of the interval of convergence of a series.Finding the radius of convergence of a cubic Taylor series
$begingroup$
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
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.
$endgroup$
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
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
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.
$endgroup$
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
real-analysis sequences-and-series
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
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
asked Mar 12 at 10:47
bigscbigsc
82
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.
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.
bigsc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
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 |
$begingroup$
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
$begingroup$
Can you give more details ?
$endgroup$
– Mauro ALLEGRANZA
Mar 12 at 10:48
$begingroup$
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
$begingroup$
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
$begingroup$
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
$begingroup$
May be meaning $$sum_k=n^infty a_k$$
$endgroup$
– Mostafa Ayaz
5 hours ago
add a comment |
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$begingroup$
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