New posts in induction

Proof of inequality $2(\sqrt{n+1}-\sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n} - \sqrt{n-1})$ using induction

inequality induction radicals

Proof by induction that $n^3 + (n + 1)^3 + (n + 2)^3$ is a multiple of $9$. Please mark/grade.

elementary-number-theory proof-writing induction proof-verification divisibility

Powers of a Toeplitz matrix

linear-algebra matrices induction toeplitz-matrices

Are we properly using mathematical induction?

proof-verification logic induction

Divisor function asymptotics

number-theory summation induction asymptotics analytic-number-theory

Use induction to prove that $ 1 + \frac {1}{\sqrt{2}} + \frac {1}{\sqrt{3}} .... + \frac {1}{\sqrt{n}} < 2\sqrt{n}$

elementary-number-theory inequality induction

Is there a much simpler proof for Euler factorial formula?

induction factorial alternative-proof

Well Ordering implies Induction Proof doubt

proof-explanation induction natural-numbers well-orders

Proof of $\sum^{2N}_{n=1} \frac{(-1)^{n-1}}{n} = \sum^{N}_{n=1} \frac{1}{N+n}$

summation induction harmonic-numbers

There are no bearded men in the world - What goes wrong in this proof?

induction fake-proofs

Cauchy induction: are there examples of cases where choosing an integer other than $2$ is a better strategy?

The limit and asymptotic analysis of $a_n^2 - n$ from $a_{n+1} = \frac{a_n}{n} + \frac{n}{a_n}$

sequences-and-series limits induction asymptotics recurrence-relations

Induction - Countable Union of Countable Sets

elementary-set-theory induction

Proving Inequalities using Induction

Prove that if $n^2$ is divided by 3, then also $n$ can also be divided by 3.

algebra-precalculus elementary-number-theory induction divisibility

Prove that $\det(A)=p_1p_2-ba={bf(a)-af(b)\over b-a}$

linear-algebra matrices polynomials induction determinant

Prove that $1^3 + 2^3 + ... + n^3 = (1+ 2 + ... + n)^2$ [duplicate]

summation induction

Proof $\forall n\in\mathbb{N}$, that $9|10^n-1$ by mathematical induction

proof-writing solution-verification induction divisibility

Prove $4^{n} -1$ is divisible by $3$ for all $n\geq1$ [duplicate]

induction computer-science

Prove with induction: $\forall n \in \mathbb{N}_{>2} \: \exists y\in \mathbb{N}: (n+2)^3 + 2(n+2) = 3y$

solution-verification induction