How do you prove by induction?

First you prove the case n=1 is true. Then you assume that n=k is true, then calculate what n=k+1 is. This should prove true, so that by induction, you have proved that the statement is true for all natural numbers.

PK

Related Further Mathematics A Level answers

All answers ▸

Prove De Moivre's by induction for the positive integers


Prove by induction that 6^n + 4 is divisible by 5 for all integers n >= 1


What is the polar form of the equation: x^2+y^2 =xy+1


In simple harmonic motion, where would the object have the largest speed. If the angular velocity is 2 rad s^-1, and the amplitude is 1m, what is the largest speed obtained by the object?