Proof of sum of cubes of odd numbers by induction
125401
Mathematical Induction: Sum of first n odd perfect cubes
77564
How to prove for each positive integer $n$, the sum of the first $n$ odd positive integers is $n^2$?
65983
Combinatorial proof of binomial coefficient summation identity
33104
Combinatorial Proof with Summation Identity
19129
mathematical induction proof of a square vs factorial
57746
Prove that, for any set of consecutive integers with an odd number of terms, the sum of the integers is always a multiple of the number of terms.
8366
Proof of $a^n+b^n$ divisible by $a+b$ when $n$ is odd
146305
Simplify sum of factorials with mathematical induction
17491
Proof by Induction: Solving $1+3+5+\cdots+(2n-1)$
59612
Proof by induction that if $n \in \mathbb N$ then it can be written as sum of different Fibonacci numbers
146200
proof by induction: sum of binomial coefficients $\sum_{k=0}^n (^n_k) = 2^n$
36639
Prove by induction that $\sum_{r=0}^{n}\begin{pmatrix}n \\ r \end{pmatrix}=2^k$
26790
Proving the geometric sum formula by induction
135914
Evaluate the sum of cubes
133905
Intuitive proof of $\sum_{k=1}^{n} \binom{n}{k} k^{k-1} (n-k)^{n-k} = n^n$
94389
Proving formula for product of first n odd numbers
71789
Prove that the sum of digits of $(999...9)^{3}$ (cube of integer with $n$ digits $9$) is $18n$