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
Answered by Praveenaa K. • Further Mathematics tutor
4024 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Express (X²-16)/(X-1)(X+3) in partial fractions
Prove by induction that 1^2 + 2^2 + 3^2 + . . . + n^2 = (1/6)n(n+1)(2n+1)
By use of matrices uniquely solve the following system of equations, justifying each step of the calculation: 3x-7y=6, 5y-2x=-3.
How do I construct a proof by induction?