Prove that (1+j)^n + (1-j)^n is a real number for every n>0
89758
Is there a formula for $(1+i)^n+(1-i)^n$?
48081
Prove that for all $n \in \mathbb{N}$: $2^{n-1}(a^n + b^n) \ge (a + b)^n$
36906
Prove that $x^n+x^{-n} \in \mathbf{N}$ if $x+\frac1x \in \mathbf{N}$
21781
Prove for any $a>1$ there exist a natural number, $N$, such that $a^n>n$ for all $n \ge N$
26741
How to prove for $s<1,|a+b|^s\le|a|^s+|b|^s$
102307
Discrete Math Proofs Involving Real Numbers
153969
The "elements" of a real number
95061
Proving that $2^{2\cdot 3^{n-1}}\equiv 1+3^n\pmod{3^{n+1}}$ for every natural $n$
154406
Real analysis - proof approach help
82742
Proving that ${x +y+n- 1 \choose n}= \sum_{k=0}^n{x+n-k-1 \choose n-k}{y+k-1 \choose k} $
108244
Proof without solving equation that if $(1+z)^n = (1-z)^n$ then Re(z) = 0. Did I do it right?
111316
PROVE if $x \ge-1 $then $ (1+x)^n \ge 1+nx $ , Every $n \ge 1$
101899
Proof By Induction of a Sum
91000
Prove that $\frac{1}{a+1}0$
130093
Prove by Induction : $n < 2^n$
145397
How to prove that for every $i$, $a_i = i$
149758
How to prove $\log n < n$?