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

Mathematical Induction - Series-type questions.
Test Yourself 1.


 

The questions on this page focus on:
1. Basic series.
2. Series with fractions.
3. Series expressed in sigma notation.
4. Series with terms using factorial notation.

Prove the following relationships true for all natural numbers ≥ 1.

Basic series. 1.
  2.
  3.
  4.

.

Use mathematical induction to prove that, for all integers n ≥ 2
  5.

  6.

Now make up your own induction questions of this type.

Take any arithmetic or geometric series you have dealt with,

find its sum in the usual way and then prove it by induction.
Fractions. 7.
  8.
  9.
Sigma notation. 10.
  11.
  12.
Factorials. 13.
  14.
  15. for n ≥2.
  16.