Newbetuts

Proving “The sum of $n$ consecutive cubes is equal to the square of the sum of the first $n$ numbers.”

Proof by induction of Bernoulli's inequality $ (1+x)^n \ge 1+nx$

The "assumption" in proof by induction

9 pirates have to divide 1000 coins...

How to proof linearity property of summations with induction

Strong Induction Proof: Every natural number = sum of distinct powers of 2

Was the effective coverage of induction really just natural number?

Can someone give me an example of a challenging proof by induction? [closed]

Induction proof. Explain in detail why it’s incorrect [duplicate]

Flawed proof that all positive integers are equal

Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?

Prove by induction that $2^{2n} – 1$ is divisible by $3$ whenever n is a positive integer.

Examples of transfinite induction

Complete induction proof that every $n > 1$ can be written as a product of primes

Fascinating induction problem with numerous interpretations

For what natural numbers is $n^3 < 2^n$? Prove by induction

Illustrative examples of a phenomenon in the logic of mathematical induction

New posts in induction

What is the purpose of the first test in an inductive proof?

Difficulties in a proof by mathematical induction (involves evaluating $\sum r3^r$).

Showing that for $n\geq 3$ the inequality $(n+1)^n<n^{(n+1)}$ holds

Proving “The sum of $n$ consecutive cubes is equal to the square of the sum of the first $n$ numbers.”

Proof by induction of Bernoulli's inequality $ (1+x)^n \ge 1+nx$

The "assumption" in proof by induction

9 pirates have to divide 1000 coins...

How to proof linearity property of summations with induction

Strong Induction Proof: Every natural number = sum of distinct powers of 2

Was the effective coverage of induction really just natural number?

Can someone give me an example of a challenging proof by induction? [closed]

Induction proof. Explain in detail why it’s incorrect [duplicate]

Flawed proof that all positive integers are equal

Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?

Prove by induction that $2^{2n} – 1$ is divisible by $3$ whenever n is a positive integer.

Examples of transfinite induction

Complete induction proof that every $n > 1$ can be written as a product of primes

Fascinating induction problem with numerous interpretations

For what natural numbers is $n^3 < 2^n$? Prove by induction

Illustrative examples of a phenomenon in the logic of mathematical induction