Book recommendation for this type of series
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I'm looking for a book which deals with the following type of series.That is, I want a book which explains how to find the sum of the series, for example, like the following:
$$1+frac{2}{6}+frac{2 cdot5}{6 cdot 12}+frac{2 cdot 5 cdot8}{6 cdot 12 cdot 18}+cdots$$
$$frac{4}{20}+frac{4 cdot 7}{20 cdot 30}+frac{4 cdot 7 cdot 10}{20 cdot30 cdot 40}+cdots$$
$$frac{1}{5}-frac{1 cdot 4}{5 cdot 10}+frac{1 cdot 4 cdot7}{5 cdot 10 cdot 15}+cdots$$
$$1+frac{3}{4}+frac{3 cdot5}{4 cdot 8}+frac{3 cdot 5 cdot7}{4 cdot 8 cdot 12}+cdots$$
Is this type of problems a simple application of something ?
Any book recommendation or advice are welcome!
soft-question book-recommendation advice
asked Nov 30 '18 at 4:47
Chinnapparaj RChinnapparaj R
5,3131828
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add a comment |
$begingroup$
I'm looking for a book which deals with the following type of series.That is, I want a book which explains how to find the sum of the series, for example, like the following:
$$1+frac{2}{6}+frac{2 cdot5}{6 cdot 12}+frac{2 cdot 5 cdot8}{6 cdot 12 cdot 18}+cdots$$
$$frac{4}{20}+frac{4 cdot 7}{20 cdot 30}+frac{4 cdot 7 cdot 10}{20 cdot30 cdot 40}+cdots$$
$$frac{1}{5}-frac{1 cdot 4}{5 cdot 10}+frac{1 cdot 4 cdot7}{5 cdot 10 cdot 15}+cdots$$
$$1+frac{3}{4}+frac{3 cdot5}{4 cdot 8}+frac{3 cdot 5 cdot7}{4 cdot 8 cdot 12}+cdots$$
Is this type of problems a simple application of something ?
Any book recommendation or advice are welcome!
soft-question book-recommendation advice
asked Nov 30 '18 at 4:47
Chinnapparaj RChinnapparaj R
5,3131828
$endgroup$
1
$begingroup$
You could peruse Ramanujan's notebooks, perhaps
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– Jair Taylor
Nov 30 '18 at 4:54
$begingroup$
These are all essentially binomial series. Plenty of books treat the binomial theorem.
$endgroup$
– Lord Shark the Unknown
Nov 30 '18 at 5:06
add a comment |
$begingroup$
I'm looking for a book which deals with the following type of series.That is, I want a book which explains how to find the sum of the series, for example, like the following:
$$1+frac{2}{6}+frac{2 cdot5}{6 cdot 12}+frac{2 cdot 5 cdot8}{6 cdot 12 cdot 18}+cdots$$
$$frac{4}{20}+frac{4 cdot 7}{20 cdot 30}+frac{4 cdot 7 cdot 10}{20 cdot30 cdot 40}+cdots$$
$$frac{1}{5}-frac{1 cdot 4}{5 cdot 10}+frac{1 cdot 4 cdot7}{5 cdot 10 cdot 15}+cdots$$
$$1+frac{3}{4}+frac{3 cdot5}{4 cdot 8}+frac{3 cdot 5 cdot7}{4 cdot 8 cdot 12}+cdots$$
Is this type of problems a simple application of something ?
Any book recommendation or advice are welcome!
soft-question book-recommendation advice
asked Nov 30 '18 at 4:47
Chinnapparaj RChinnapparaj R
5,3131828
$endgroup$
I'm looking for a book which deals with the following type of series.That is, I want a book which explains how to find the sum of the series, for example, like the following:
$$1+frac{2}{6}+frac{2 cdot5}{6 cdot 12}+frac{2 cdot 5 cdot8}{6 cdot 12 cdot 18}+cdots$$
$$frac{4}{20}+frac{4 cdot 7}{20 cdot 30}+frac{4 cdot 7 cdot 10}{20 cdot30 cdot 40}+cdots$$
$$frac{1}{5}-frac{1 cdot 4}{5 cdot 10}+frac{1 cdot 4 cdot7}{5 cdot 10 cdot 15}+cdots$$
$$1+frac{3}{4}+frac{3 cdot5}{4 cdot 8}+frac{3 cdot 5 cdot7}{4 cdot 8 cdot 12}+cdots$$
Is this type of problems a simple application of something ?
Any book recommendation or advice are welcome!
soft-question book-recommendation advice
soft-question book-recommendation advice
asked Nov 30 '18 at 4:47
Chinnapparaj RChinnapparaj R
5,3131828
asked Nov 30 '18 at 4:47
Chinnapparaj RChinnapparaj R
5,3131828
asked Nov 30 '18 at 4:47
Chinnapparaj RChinnapparaj R
5,3131828
asked Nov 30 '18 at 4:47
Chinnapparaj RChinnapparaj R
5,3131828
asked Nov 30 '18 at 4:47
Chinnapparaj RChinnapparaj R
5,3131828
5,3131828
1
$begingroup$
You could peruse Ramanujan's notebooks, perhaps
$endgroup$
– Jair Taylor
Nov 30 '18 at 4:54
$begingroup$
These are all essentially binomial series. Plenty of books treat the binomial theorem.
$endgroup$
– Lord Shark the Unknown
Nov 30 '18 at 5:06
add a comment |
1
$begingroup$
You could peruse Ramanujan's notebooks, perhaps
$endgroup$
– Jair Taylor
Nov 30 '18 at 4:54
$begingroup$
These are all essentially binomial series. Plenty of books treat the binomial theorem.
$endgroup$
– Lord Shark the Unknown
Nov 30 '18 at 5:06
1
1
$begingroup$
You could peruse Ramanujan's notebooks, perhaps
$endgroup$
– Jair Taylor
Nov 30 '18 at 4:54
$begingroup$
You could peruse Ramanujan's notebooks, perhaps
$endgroup$
– Jair Taylor
Nov 30 '18 at 4:54
$begingroup$
These are all essentially binomial series. Plenty of books treat the binomial theorem.
$endgroup$
– Lord Shark the Unknown
Nov 30 '18 at 5:06
$begingroup$
These are all essentially binomial series. Plenty of books treat the binomial theorem.
$endgroup$
– Lord Shark the Unknown
Nov 30 '18 at 5:06
add a comment |
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$begingroup$
You could peruse Ramanujan's notebooks, perhaps
$endgroup$
– Jair Taylor
Nov 30 '18 at 4:54
$begingroup$
These are all essentially binomial series. Plenty of books treat the binomial theorem.
$endgroup$
– Lord Shark the Unknown
Nov 30 '18 at 5:06