Mixing
If $|frac{a_{n+1}}{a_n}|leq q,forall ngeq n_0$ Is...
0
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Is there a trick how to deal with those counting Problems? These kind of problem also occur quite often in combinatorics too. What is the rule of thumb?
algebra-precalculus
edited Jan 31 at 21:16
Jyrki Lahtonen
110k13171385
asked Jan 23 at 17:17
RM777RM777
38312
$endgroup$
add a comment |
0
$begingroup$
Is there a trick how to deal with those counting Problems? These kind of problem also occur quite often in combinatorics too. What is the rule of thumb?
algebra-precalculus
edited Jan 31 at 21:16
Jyrki Lahtonen
110k13171385
asked Jan 23 at 17:17
RM777RM777
38312
$endgroup$
$begingroup$
There are simply $p$ terms on the left (look at the indices of the numerators) and each term contributes a $q$ on the right. Why does this question have anything to do with number theory?
$endgroup$
– user587192
Jan 31 at 18:08
$begingroup$
The first index is p and the last is 1. If p is for example 1 I have got 1. That means p Terms establishing the induction base. If the first index is $p+1$ then the second must be p using the inductionhypothesis gives p numbers + 1 for the p+1. Okay I thought since it was a counting Problem I should put it under the numbertheory tag.
$endgroup$
– RM777
Jan 31 at 19:22
add a comment |
0
0
0
$begingroup$
Is there a trick how to deal with those counting Problems? These kind of problem also occur quite often in combinatorics too. What is the rule of thumb?
algebra-precalculus
edited Jan 31 at 21:16
Jyrki Lahtonen
110k13171385
asked Jan 23 at 17:17
RM777RM777
38312
$endgroup$
Is there a trick how to deal with those counting Problems? These kind of problem also occur quite often in combinatorics too. What is the rule of thumb?
algebra-precalculus
algebra-precalculus
edited Jan 31 at 21:16
Jyrki Lahtonen
110k13171385
asked Jan 23 at 17:17
RM777RM777
38312
edited Jan 31 at 21:16
Jyrki Lahtonen
110k13171385
asked Jan 23 at 17:17
RM777RM777
38312
edited Jan 31 at 21:16
Jyrki Lahtonen
110k13171385
edited Jan 31 at 21:16
Jyrki Lahtonen
110k13171385
edited Jan 31 at 21:16
Jyrki Lahtonen
110k13171385
110k13171385
asked Jan 23 at 17:17
RM777RM777
38312
asked Jan 23 at 17:17
RM777RM777
38312
asked Jan 23 at 17:17
RM777RM777
38312
38312
$begingroup$
There are simply $p$ terms on the left (look at the indices of the numerators) and each term contributes a $q$ on the right. Why does this question have anything to do with number theory?
$endgroup$
– user587192
Jan 31 at 18:08
$begingroup$
The first index is p and the last is 1. If p is for example 1 I have got 1. That means p Terms establishing the induction base. If the first index is $p+1$ then the second must be p using the inductionhypothesis gives p numbers + 1 for the p+1. Okay I thought since it was a counting Problem I should put it under the numbertheory tag.
$endgroup$
– RM777
Jan 31 at 19:22
add a comment |
$begingroup$
There are simply $p$ terms on the left (look at the indices of the numerators) and each term contributes a $q$ on the right. Why does this question have anything to do with number theory?
$endgroup$
– user587192
Jan 31 at 18:08
$begingroup$
The first index is p and the last is 1. If p is for example 1 I have got 1. That means p Terms establishing the induction base. If the first index is $p+1$ then the second must be p using the inductionhypothesis gives p numbers + 1 for the p+1. Okay I thought since it was a counting Problem I should put it under the numbertheory tag.
$endgroup$
– RM777
Jan 31 at 19:22
$begingroup$
There are simply $p$ terms on the left (look at the indices of the numerators) and each term contributes a $q$ on the right. Why does this question have anything to do with number theory?
$endgroup$
– user587192
Jan 31 at 18:08
$begingroup$
There are simply $p$ terms on the left (look at the indices of the numerators) and each term contributes a $q$ on the right. Why does this question have anything to do with number theory?
$endgroup$
– user587192
Jan 31 at 18:08
$begingroup$
The first index is p and the last is 1. If p is for example 1 I have got 1. That means p Terms establishing the induction base. If the first index is $p+1$ then the second must be p using the inductionhypothesis gives p numbers + 1 for the p+1. Okay I thought since it was a counting Problem I should put it under the numbertheory tag.
$endgroup$
– RM777
Jan 31 at 19:22
$begingroup$
The first index is p and the last is 1. If p is for example 1 I have got 1. That means p Terms establishing the induction base. If the first index is $p+1$ then the second must be p using the inductionhypothesis gives p numbers + 1 for the p+1. Okay I thought since it was a counting Problem I should put it under the numbertheory tag.
$endgroup$
– RM777
Jan 31 at 19:22
add a comment |
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$begingroup$
There are simply $p$ terms on the left (look at the indices of the numerators) and each term contributes a $q$ on the right. Why does this question have anything to do with number theory?
$endgroup$
– user587192
Jan 31 at 18:08
$begingroup$
The first index is p and the last is 1. If p is for example 1 I have got 1. That means p Terms establishing the induction base. If the first index is $p+1$ then the second must be p using the inductionhypothesis gives p numbers + 1 for the p+1. Okay I thought since it was a counting Problem I should put it under the numbertheory tag.
$endgroup$
– RM777
Jan 31 at 19:22