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Prove by induction: $\sum\limits_{k=1}^{n}sin(kx)=\frac{sin(\frac{n+1}{2}x)sin\frac{nx}{2}}{sin\frac{x}{2}}$

Prove the following (algebra of polynomials)

Some trouble with the induction

Looking for induction problems that are not formula-based

What are statements about the natural numbers where induction is impossible or unnecessary to prove?

Strong induction $n=2^a\cdot b$ [duplicate]

Summation inductional proof: $\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\ldots+\frac{1}{n^2}<2$ [duplicate]

Proving that $1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots+\frac{1}{2n-1}-\frac{1}{2n}=\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{2n}$

Real Induction Over Multiple Variables?

Inverted induction

How do you prove that proof by induction is a proof?

Divisibility by 7 Proof by Induction

Proof of Lemma: Every integer can be written as a product of primes

My first proof that uses the well-ordering principle (very simple number theory). Please mark/grade.

Model of Robinson Arithmetic but not Peano Arithmetic

If $n \mid a^n - 1$, prove $ a + 1 $, $ a^2 + 2 $, ..., $ a^n + n $ are distinct $ \bmod n $.

Sum of squares of products of subsets without neighboring elements equals $(N+1)! -1$

New posts in induction

Exclusion Inclusion Principle Induction Proof

Prove that $\cos(2\pi/n)+\cos(4\pi/n)+\cdots+\cos(2(k-1)\pi/n)=-1$

How can it be proved that the geometric mean function is concave?

Prove by induction: $\sum\limits_{k=1}^{n}sin(kx)=\frac{sin(\frac{n+1}{2}x)sin\frac{nx}{2}}{sin\frac{x}{2}}$

Prove the following (algebra of polynomials)

Some trouble with the induction

Looking for induction problems that are not formula-based

What are statements about the natural numbers where induction is impossible or unnecessary to prove?

Strong induction $n=2^a\cdot b$ [duplicate]

Summation inductional proof: $\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\ldots+\frac{1}{n^2}<2$ [duplicate]

Proving that $1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots+\frac{1}{2n-1}-\frac{1}{2n}=\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{2n}$

Real Induction Over Multiple Variables?

Inverted induction

How do you prove that proof by induction is a proof?

Divisibility by 7 Proof by Induction

Proof of Lemma: Every integer can be written as a product of primes

My first proof that uses the well-ordering principle (very simple number theory). Please mark/grade.

Model of Robinson Arithmetic but not Peano Arithmetic

If $n \mid a^n - 1$, prove $ a + 1 $, $ a^2 + 2 $, ..., $ a^n + n $ are distinct $ \bmod n $.

Sum of squares of products of subsets without neighboring elements equals $(N+1)! -1$