Arithmetic and Geometric Progression Exercises

Exercises

Question 1

The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference?

Question 2

 What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ?

Question 3 

 What is the fiftieth term of the arithmetic sequence 3, 7, 11, 15, ... ?

Arithmetic and Geometric Progression

FORMULA

Permutation and Combination Exercises

Exercises

Question 1

How many permutations of 3 different digits are there, chosen from the ten digits 0 to 9 inclusive?
 

Question 2

How many permutations of 4 different letters are there, chosen from the twenty six letters of the alphabet?
 

Question 3 

How many different committees of 5 people can be chosen from 10 people?

Permutation and Combination

What's the Difference?

I’ve always confused “permutation” and “combination” — which one’s which?

Inequalities Exercises

Exercises

Question 1

Solve 5x > 10

Question 2

Solve 3x + 2 > 8

Question 3 

Solve the inequality 3x - 7 < 5

 

Inequalities

Basic Rules of Inequalities

 

Logarithms Exercises

Exercises

Logarithms

Introduction to Logarithms

Indices Exercises

Exercises

Indices and the Law of Indices

Introduction

 
Indices are a useful way of more simply expressing large numbers. They also present us with many useful properties for manipulating them using what are called the Law of Indices.