Is it possible to use mathematical induction to prove a statement concerning all real numbers, not necessarily just the integers?
31900
Induction on Real Numbers
134470
Prove $\frac{k^7}7+\frac{k^5}5+\frac{2k^3}3-\frac k{105}$ is a integer by mathematical induction
41784
Prove using mathematical induction that $n < 3 ^n$ for all positive integers n.
74875
Do we know if there exist true mathematical statements that can not be proven?
138446
Proving that there exists an irrational number in between any given real numbers
130149
Computablility of a real number
33757
For what natural numbers is $n^3 < 2^n$? Prove by induction
108698
proof using the mathematical induction
91197
Proving $n! \ge 2^{n-1 }$for all $n\ge1 $by mathematical Induction
11867
Prove by induction that $n < 2^n$ for all $n \ge 1$
100080
Proving with induction $(1-x)^n<\frac 1 {1+nx}$
155897
Proof by induction - is this correct?
123195
Prove by induction that a^n+a^-n is an integer.
154133
Flawed proof by induction that $a^{n-1}=1$
16235
Prove by induction that every positive integer is represented by some binary number?
60775
Why are integers subset of reals?
121874
Use Induction to prove that for all $n \in \mathbb{N}, (x^n + \frac{1}{x^n}) \in \mathbb{Z}$ if $x+\frac{1}{x}\in\mathbb{Z}$.