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.

Related Further Mathematics A Level answers

All answers ▸

Prove that sum(k) from 0 to n is n(n+1)/2, by induction


Prove by induction that (n^3)-n is divisible by 3 for all integers n>0 (typical fp1 problem)


Let E be an ellipse with equation (x/3)^2 + (y/4)^2 = 1. Find the equation of the tangent to E at the point P where x = √3 and y > 0, in the form ax + by = c, where a, b and c are rational.


Given that k is a real number and that A = ((1+k k)(k 1-k)) find the exact values of k for which A is a singular matrix.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences