New posts in induction

Induction proof on Fibonacci sequence: $F(n-1) \cdot F(n+1) - F(n)^2 = (-1)^n$

sequences-and-series induction fibonacci-numbers

Combinatorial proof of $\sum_{k=1}^n k k!=(n+1)!-1$

combinatorics summation induction factorial

Is it a new type of induction? (Infinitesimal induction) Is this even true?

proof-verification induction nonstandard-analysis infinitesimals

Prove by induction that $n!>2^n$ [duplicate]

inequality induction factorial

Examples of mathematical induction

soft-question induction examples-counterexamples big-list education

Proof of 1 = 0 by Mathematical Induction on Limits?

limits induction fake-proofs

Show that $11^{n+1}+12^{2n-1}$ is divisible by $133$.

elementary-number-theory induction divisibility

What is the second principle of finite induction?

How to teach mathematical induction?

discrete-mathematics induction education

How can you prove that $1+ 5+ 9 + \cdots +(4n-3) = 2n^{2} - n$ without using induction?

summation induction arithmetic-progressions

Prove that $n^3(n^2-1)$ is divisible by 24 for all n

elementary-number-theory polynomials induction divisibility

Proving $ 1+\frac{1}{4}+\frac{1}{9}+\cdots+\frac{1}{n^2}\leq 2-\frac{1}{n}$ for all $n\geq 2$ by induction

discrete-mathematics inequality summation induction

Proving $\frac{1}{n+1} + \frac{1}{n+2}+\cdots+\frac{1}{2n} > \frac{13}{24}$ for $n>1,n\in\Bbb N$ by Induction

inequality summation induction harmonic-numbers

Vandermonde determinant by induction

linear-algebra matrices induction determinant

What makes induction a valid proof technique?

Proof that every number ≥ $8$ can be represented by a sum of fives and threes.

number-theory proof-verification prime-numbers induction

Show that $n^3-n$ is divisible by $6$ using induction

induction divisibility

Prove that $ n < 2^{n}$ for all natural numbers $n$. [duplicate]

inequality induction

For the Fibonacci numbers, show for all $n$: $F_1^2+F_2^2+\dots+F_n^2=F_nF_{n+1}$

summation induction fibonacci-numbers

Show that $n$ lines separate the plane into $\frac{n^2+n+2}{2}$ regions

discrete-mathematics logic induction