Equality of sums of sequences
7919
The pigeonhole principle - how to solve questions like that?
59459
Binary sequences and ${2}^{\mathbb{N}}$ have the same cardinality
41571
Prove that in a sequence of numbers $49 , 4489 , 444889 , 44448889\ldots$
25576
Characterization of short exact sequences
92704
Prove that $\sum_{k=1}^{n}k\binom{n}{k}=n\cdot2^{n-1}$
125028
Prove the following equality using mathematical induction:
70827
Prove that $\sum_{i = n - b}^{a - m} {a - i \choose m}{b + i \choose n} = {a + b + 1 \choose m + n + 1}$
87505
binomial coefficient equal to sum
67886
How to prove $\sum_{k=1}^{n}F_k = F_{n+2}-1$ by induction when $F_n$ is the Fibonacci sequence
74542
Convergence of a sequence whose even and odd subsequences converge
135018
Proving that a sequence has $a_n = a_{n+2}$ for $n$ sufficiently large.
65764
Partitioning $\{1,2,\ldots,k\}$ into $p$ subsets with equal sums, where $p$ is prime
65715
Distribution of sums
48600
Sufficiency to prove the convergence of a sequence using even and odd terms
46778
Prove that a recursive sequence is monotonically increasing
9943
Series of sequence with terms over series.
65983
Combinatorial proof of binomial coefficient summation identity