How to solve by induction or any other method? [on hold]Mathematical induction question: why can we “assume $P(k)$ holds”?Induction proof of boundedness of a sequenceStrong induction doesn't require a base case?Infinite descent method and strong inductionHow to generalize induction from this definition?Natural numbers but without induction?Use an induction argument to prove that for any natural number $n$, the interval $(n,n+1)$ does not contain any natural number.Proof by “continuous induction”Induction: Prove that any integer postage greater than 34 cents can be formed using only 5-cent and 9-cent stampsIs the induction principle still viable if the induction skips over, or does not hold for some numbers?
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How to solve by induction or any other method? [on hold]
Mathematical induction question: why can we “assume $P(k)$ holds”?Induction proof of boundedness of a sequenceStrong induction doesn't require a base case?Infinite descent method and strong inductionHow to generalize induction from this definition?Natural numbers but without induction?Use an induction argument to prove that for any natural number $n$, the interval $(n,n+1)$ does not contain any natural number.Proof by “continuous induction”Induction: Prove that any integer postage greater than 34 cents can be formed using only 5-cent and 9-cent stampsIs the induction principle still viable if the induction skips over, or does not hold for some numbers?
$begingroup$
Determine (with proof) the set of natural numbers for which the following inequalities hold.
- $3^n+1 > n^4$
- $n^3 + (n + 1)^3 > (n + 2)^3$
induction
edited Mar 11 at 10:47
Gurjinder
554417
asked Mar 11 at 10:31
JP3112JP3112
12
New contributor
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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$endgroup$
put on hold as off-topic by Saad, Arthur, Peter, sdcvvc, Claude Leibovici Mar 11 at 11:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Arthur, Peter, sdcvvc, Claude Leibovici
add a comment |
$begingroup$
Determine (with proof) the set of natural numbers for which the following inequalities hold.
- $3^n+1 > n^4$
- $n^3 + (n + 1)^3 > (n + 2)^3$
induction
edited Mar 11 at 10:47
Gurjinder
554417
asked Mar 11 at 10:31
JP3112JP3112
12
New contributor
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
put on hold as off-topic by Saad, Arthur, Peter, sdcvvc, Claude Leibovici Mar 11 at 11:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Arthur, Peter, sdcvvc, Claude Leibovici
add a comment |
$begingroup$
Determine (with proof) the set of natural numbers for which the following inequalities hold.
- $3^n+1 > n^4$
- $n^3 + (n + 1)^3 > (n + 2)^3$
induction
edited Mar 11 at 10:47
Gurjinder
554417
asked Mar 11 at 10:31
JP3112JP3112
12
New contributor
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Determine (with proof) the set of natural numbers for which the following inequalities hold.
- $3^n+1 > n^4$
- $n^3 + (n + 1)^3 > (n + 2)^3$
induction
induction
edited Mar 11 at 10:47
Gurjinder
554417
asked Mar 11 at 10:31
JP3112JP3112
12
New contributor
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Mar 11 at 10:47
Gurjinder
554417
asked Mar 11 at 10:31
JP3112JP3112
12
New contributor
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Mar 11 at 10:47
Gurjinder
554417
edited Mar 11 at 10:47
Gurjinder
554417
edited Mar 11 at 10:47
Gurjinder
554417
554417
asked Mar 11 at 10:31
JP3112JP3112
12
New contributor
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 11 at 10:31
JP3112JP3112
12
asked Mar 11 at 10:31
JP3112JP3112
12
12
New contributor
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
JP3112 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by Saad, Arthur, Peter, sdcvvc, Claude Leibovici Mar 11 at 11:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Arthur, Peter, sdcvvc, Claude Leibovici
put on hold as off-topic by Saad, Arthur, Peter, sdcvvc, Claude Leibovici Mar 11 at 11:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Arthur, Peter, sdcvvc, Claude Leibovici
add a comment |
add a comment |
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