Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Mathematical Induction - Miscellaneous questions.
Test Yourself 1.


 

Prove the following relationships true for all natural numbers ≥ 1 except where otherwise noted.

Product

for integers n≥3.

 

for integers ≥ 2

Calculus Prove that the nth derivative of xn is n!
   
Trigonometry  
   
Geometry Prove that the sum of the angles of a polygon of n sides is (2n-4) right angles (for n ≥ 3).