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 eigenvalues and eigenvectors of the matrix M , where M{2,2} = (1/2 2/3 ; 1/2 1/3) Hence express M in the form PDP^-1 where D is a diagonal matrix.


Prove by mathematical induction that 11^n-6 is divisible by 5 for all natural numbers n


Solve the equation 2(Sinhx)^2 -5Coshx=5, giving your answer in terms of natural logarithm in simplest form


Unfortunately this box is to small to contain the question so please see the first paragraph of the answer box for the question.