How to prove the sum of squares larger than 1/n without induction?
3316
Prove QM-AM inequality
3043
Prove $n!>2^n$ for $n\geq4$ using induction.
136274
$n! \leq \left( \frac{n+1}{2} \right)^n$ via induction
118036
Proving at least 99 pairwise sums of the reals are non-negative
70625
Prove By Induction $1 + 1/2 + 1/3 + ... + 1/(2^n) ≥ 1 + n/2$
100080
Proving with induction $(1-x)^n<\frac 1 {1+nx}$
16177
Proof by Induction: $\sum_0^nx^i=(1-x^{n+1})/(1-x)$
153123
Proving by induction $4^n  0$
25496
Avoiding proof by induction
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
50128
Efficiently finding two squares which sum to a prime
149481
Number theory counting sums of squares modulus
62177
Prove that: $2^n < n!$ Using Induction
99037
Prove the sum of all numbers that do not have a multiplicative inverse mod $n$
98440
Show that any non-negative rational integer may be written as the sum of two squares if it is of the form....
142992
Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$
155926
Prove there are k consecutive non-squarefree integers