Geometric Sequences What is a geometric sequence? In a geometric sequence, there is a common ratio, r, between consecutive terms in the sequence For example, 2, 6, 18, 54, 162, … is a sequence with...
Arithmetic Sequences What is an arithmetic sequence? In an arithmetic sequence, the difference between consecutive terms in the sequence is constant This constant difference is known as the common ...
Language of Sequences & Series What is a sequence? A sequence is an ordered set of numbers with a rule for finding all of the numbers in the sequence For example 1, 3, 5, 7, 9, … is a sequence ...
Solving Exponential Equations What are exponential equations? An exponential equation is an equation where the unknown is a power In simple cases the solution can be spotted without the use of a ca...
Laws of Logarithms What are the laws of logarithms? Laws of logarithms allow you to simplify and manipulate expressions involving logarithms The laws of logarithms are equivalent to the laws of ind...
Introduction to Logarithms What are logarithms? Why use logarithms? Logarithms allow us to solve equations where the exponent is the unknown value We can solve some of these by inspection For examp...
Laws of Indices What are the laws of indices? Laws of indices (or index laws) allow you to simplify and manipulate expressions involving exponents An exponent is a power that a number (called the b...
Standard form (sometimes called scientific notation or standard index form) gives us a way of writing very big and very small numbers using powers of 10. Standard Form Why use standard form? Some n...
l'Hôpital's Rule What is l’Hôpital’s Rule? l’Hôpital’s rule is a method involving calculus that allows us to find the value of certain limits How do I evaluate a limit using l’Hôpital’s Rule? Exam ...
