Mathematical Induction - Concept

Concept Concept (1)

An important and fundamental tool used when doing proofs is mathematical induction. We can use mathematical induction to prove properties in math, or formulas. For example, we can prove that a formula works to compute the value of a series. Mathematical induction involves using a base case and an inductive step to prove that a property works for a general term.

Sample Sample Problems (6)

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Mathematical Induction - Problem 1

Prove:

1 + 2 + 3 +....... n = n(n + 1)
2
Problem 1
How to use mathematical induction to prove the equation for the sum of the first n integers.
Mathematical Induction - Problem 2

Prove:

1 + 3 + 5 +.....(2n - 1) = n²
Problem 2
How to use mathematical induction to prove the equation for the sum of the first n odd integers.
Mathematical Induction - Problem 3
Problem 3
Using Mathematical Induction to prove an inequality when "n" is on both sides of the equation.
Mathematical Induction - Problem 4
Problem 4
Using math induction to prove a number sequence equals a polynomial.
Mathematical Induction - Problem 5
Problem 5
Proof of fractional pattern using math induction.
Mathematical Induction - Problem 6
Problem 6
Overview of proof by mathematical induction process.