Proof by induction for recursive sequence $a_n =a_{\lfloor n/2 \rfloor} + a_{\lceil n/2 \rceil} +3n +1$
101641
Induction with floor, ceiling $n\le2^k\implies a_n\le3\cdot k2^k+4\cdot2^k-1$ for $a_n=a_{\lfloor\frac{n}2\rfloor}+a_{\lceil\frac{n}2\rceil}+3n+1$
102174
Proving that all terms in sequence are positive integers (Recursive)
96791
How to show that $\lfloor n/1\rfloor+\lfloor n/2 \rfloor+....+\lfloor n/n\rfloor+\lfloor{\sqrt{n}}\rfloor$ is even?
113340
Show that the recursive sequence is bounded
40692
Proving by strong induction that $\forall n \ge 2, \;\forall d \ge 2 : d \mid n(n+1)(n+2)...(n+d-1) $
155897
Proof by induction - is this correct?
101899
Proof By Induction of a Sum
128517
A recursive sequence is defined by...
157601
Proof a formula of the Fibonacci sequence with induction
19657
Does the recursive sequence $a_1 = 1, a_n = a_{n-1}+\frac{1}{a_{n-1}}$ converge?
91197
Proving $n! \ge 2^{n-1 }$for all $n\ge1 $by mathematical Induction
49299
Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.
45914
Proving that $n!≤((n+1)/2)^n$ by induction
71650
Proving by strong induction for a sequence of integers, $2^n$ divides term $n$
154133
Flawed proof by induction that $a^{n-1}=1$
12484
Prove that $\lfloor 2x \rfloor + \lfloor 2y \rfloor \geq \lfloor x \rfloor + \lfloor y \rfloor + \lfloor x+y \rfloor$ for all real $x$ and $y$.
13291
Proving $\sum_{k=1}^n\frac1{\sqrt k}<2\sqrt n$ by induction