New posts in induction

Is induction valid when starting at a negative number as a base case?

Fibonacci identity: $f_{n+1}f_{n-1} = f_n^2 + (-1)^n$

algebra-precalculus induction recurrence-relations fibonacci-numbers

Uses of "Collatz induction"?

number-theory induction collatz-conjecture

Induction on two integer variables

Prove that the 25 people can be seated in this way

combinatorics induction

Can't find the flaw in the reasoning for this proof by induction?

induction proof-explanation fake-proofs

Must we use induction to prove a statement for all integers

soft-question induction

Using induction to prove that $\sum_{r=1}^n r\cdot r! =(n+1)! -1$

summation induction factorial

Basic mathematical induction regarding inequalities [duplicate]

Mathematical induction problem: $\frac12\cdot \frac34\cdots\frac{2n-1}{2n}<\frac1{\sqrt{2n}}$

inequality induction factorial products

Proving $\sum_{i=0}^n 2^i=2^{n+1}-1$ by induction. [duplicate]

summation proof-writing induction geometric-progressions

Proof of $n^2 \leq 2^n$.

inequality proof-writing induction problem-solving

Induction Proof: Fibonacci Numbers Identity with Sum of Two Squares

induction fibonacci-numbers

Geometric mean never exceeds arithmetic mean

sequences-and-series algebra-precalculus statistics inequality induction

How to prove that $2^{n+2}+3^{2n+1}$ is divisible by 7 using induction? [duplicate]

elementary-number-theory induction divisibility

Prove by induction that for the Fibonacci numbers $F(n)$ with $n \ge 6$, $F(n) \ge 2^{n/2}$

algebra-precalculus induction

Proof of the polynomial division algorithm

abstract-algebra polynomials induction

Proof by induction that $ \sum_{i=1}^n 3i-2 = \frac{n(3n-1)}{2} $ [closed]

summation proof-writing induction arithmetic-progressions

The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer

algebra-precalculus elementary-number-theory arithmetic induction

Prove using induction that from a set of $n+1$ numbers from $\{1,2,..2n\}$, at least one number will evenly divide another.

induction pigeonhole-principle