List questions from induction

Published on 22 Jul 2019 - 5:57

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Discrete math induction, divide by 4

Published on 22 Jul 2019 - 12:43

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Prove That $3^n + 8^n$ is Not Divisible by $5$ (Using Induction)

Published on 29 Mar 2026 - 6:55

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Given that $f(n)= 7^{2n} + (2^{3n-3})(3^{n-1})$, show that $f(n+1)-24f(n)=25(7^{2n})$

Published on 29 Mar 2026 - 7:00

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Induction on inequalities

Published on 23 Jul 2019 - 0:17

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Proving the probability of a union of sets with mathematical induction

Published on 24 Jul 2019 - 0:44

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Strong Induction Number Theory

Published on 24 Jul 2019 - 16:22

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Using induction on $n$ to show that $\sum_{k=0}^m (-1)^k{n\choose{k}} = (-1)^m {{n-1}\choose{m}}$

Published on 25 Jul 2019 - 17:38

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Proof explanation strict inequality with sequence

Published on 01 Apr 2026 - 18:53

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Upper bound for Ramsey number of four-cycles

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Show that $\sum_{k=0}^n \sum_{l=0}^k t(k, l) =\sum_{l=0}^n \sum_{k=l}^n t(k, l) $.

Published on 27 Jul 2019 - 3:41

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Is this proof correct about the sum of even numbers $(n+1)n$?

Published on 26 Mar 2026 - 21:25

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Base case for a proof by induction?

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Prove that for all positive integers $x, \ x$ is not divisible by $3 \iff {x^2 - 1} $ is divisible by $3$.

Published on 28 Mar 2026 - 16:05

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Proof Verification: $\binom{n}{k}$ is always a natural number if $0\leq k\leq n$ - Spivak's Calculus, Problem 2-3(b)

Published on 31 Mar 2026 - 7:57

List Question

Writing a proper inductive argument

Discrete math induction, divide by 4

Prove That $3^n + 8^n$ is Not Divisible by $5$ (Using Induction)

Given that $f(n)= 7^{2n} + (2^{3n-3})(3^{n-1})$, show that $f(n+1)-24f(n)=25(7^{2n})$

Induction on inequalities

Proving the probability of a union of sets with mathematical induction

Strong Induction Number Theory

Using induction on $n$ to show that $\sum_{k=0}^m (-1)^k{n\choose{k}} = (-1)^m {{n-1}\choose{m}}$

Proof explanation strict inequality with sequence

Upper bound for Ramsey number of four-cycles

Show that $\sum_{k=0}^n \sum_{l=0}^k t(k, l) =\sum_{l=0}^n \sum_{k=l}^n t(k, l) $.

Is this proof correct about the sum of even numbers $(n+1)n$?

Base case for a proof by induction?

Prove that for all positive integers $x, \ x$ is not divisible by $3 \iff {x^2 - 1} $ is divisible by $3$.

Proof Verification: $\binom{n}{k}$ is always a natural number if $0\leq k\leq n$ - Spivak's Calculus, Problem 2-3(b)

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