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 ▸

Find the volume of revolution about the x-axis of the curve y=1/sqrt(x^2+2x+2) for 0<x<1


Find the nth roots of unity.


Prove by induction that n! > n^2 for all n greater than or equal to 4.


Find the general solution to the differential equation; y'' + 4y' = 24x^2