Proof by Induction
nine levels and an extension, timed, with a full model proof for every question
Difficulty
Every proof needs a basis, an assumption, an inductive step and a conclusion. Level 10 (inequalities) is an
extension
, not in Mixed.
1 · Sums of polynomials
2 · Sums of fractions
3 · Sums with powers
4 · Divisibility: one power
5 · Divisibility: harder
6 · First-order recurrence relations
7 · Second-order recurrence relations
8 · Powers of matrices
9 ·
n
th derivatives
10 · Inequalities
Extension
Mixed 1–9
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