Brian McLogan
Learn how to use mathematical induction to prove a formula
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
KnowMo
Problem Style Questions for Sequences
The video is a lecture on solving problems related to sequences. The lecturer explains that this topic is a favorite for examiners because they can ask various questions that require logical thinking beyond applying class processes. The...
KnowMo
Advanced Types of Sequences: Fibonacci, Quadratic and Geometric Progressions
In this video lecture, the instructor introduces advanced types of sequences, including balance sequences, quadratic sequences, and geometric progressions. The instructor explains how to identify these different types of sequences and...
Brian McLogan
Using mathematical induction to prove a formula
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
Brian McLogan
What is subscript notation and how does it relate to functions
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...
Brian McLogan
Learn to use induction to prove that the sum formula works for every term
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
Brian McLogan
When given a geometric sequence,determine the 8th term by using the explicit formula
👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
What is the difference between finite and infinite sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...
Brian McLogan
How to write the explicit formula of a geometric sequence given two terms of
👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in...
Brian McLogan
Learning to find the ratio of a geometric sequence
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of...
Brian McLogan
Learn how to determine if a sequence is an example of an arithmetic sequence or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of...
Curated Video
Mastering Swift 2 Programming (Video 17)
Swift 2 is a multi-paradigm programming language that has expressive features familiar to modern functional languages, and does not forget the object-oriented features of Objective-C. Things that took a block of code in Objective-C are...
FuseSchool
Is A Number In A Sequence
In this video we are going to look at how we work out whether a number is in sequence or not. We looked at finding the nth term rule, generating sequences from it and finding terms in a sequence from the nth term rule in part 1. Is 730 a...
KnowMo
Introduction to Common Sequences: Triangular, Square, and Cube Numbers
The video introduces viewers to three common types of sequences: triangular numbers, square numbers, and cube numbers. The presenter explains how each of these sequences is derived from specific geometric patterns and provides examples...
Brian McLogan
How to identify the rule of a sequence
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Brian McLogan
Prove by induction the sum formula
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
Brian McLogan
Expand a binomial to the fifth power using pascals triangle
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
Learn how to write the explicit formula given two values of an arithmetic sequence
👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic...
KnowMo
Finding the NTH Term Formula for Quadratic Sequences
The video teaches how to find the NTH term formula for quadratic sequences. The lecturer first explains the form of a quadratic sequence NTH term formula and how to recognize quadratic sequences by their second difference. Then, the...
Brian McLogan
Using induction to prove that the sum formula works for any term
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
Brian McLogan
Learning how to determine the first five terms of an arithmetic sequence
👉 Learn how to determine the first five terms of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a...
Brian McLogan
Finding the common difference of the sequence
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of...
Brian McLogan
Learn to determine the 18th term of a geometric sequence by using the explicit formula
👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
Given a geometry sequence, learn how to find the 9th term
👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...