You’ve spent months creating a basketball-playing robot, the Dunk-O-Matic, and you’re excited to demonstrate its capabilities. Until you read an advertisement: “See the Dunk-O-Matic face human players and automatically adjust its skill...

New ReviewIn this math video, viewers are guided step by step through solving a problem where the first four terms of a geometric sequence are given and the goal is to write an equation for the nth term. The exemplar solution begins by introducing...

In this short math video we will use the common ratio of a geometric sequence to find the first term. We will review the definition of a geometric sequence. A geometric sequence, is a sequence of non-zero numbers where each term after...

A video entitled "Recursive Formula Geometric" that covers the adding numbers to a given sequence.

A video entitled "Explicit Formula Geometric" that covers how to find future terms in a geometric sequence.

Pupil outcome: I can appreciate that abstract sequences can have negative values. Key learning points: - When you move away from physical representations of sequences, you can think abstractly. - You can consider what happens if there...

Pupil outcome: I can apply the distributive law to expressions involving surds. Key learning points: - Knowing how to perform arithmetic operations with surds means the distributive law can be considered. - Surds could be seen in either...

Pupil outcome: I can represent geometric sequences graphically and appreciate the common structure. Key learning points: - A geometric sequence looks like a curve when sketched (common ratio > 1 or < 1). - The gradient increases sharply...

Pupil outcome: I can use my enhanced knowledge of sequences to solve problems. Key learning points: - Compound interest can be thought of as a geometric sequence. - You can apply your knowledge of geometric sequences to solve compound...

Pupil outcome: I can appreciate that not all sequences are linear. Key learning points: - You can identify different types of sequences. - If there is a common difference, the sequence is arithmetic. - If there is a common ratio, the...

Pupil outcome: I can recognise a special number sequence. Key learning points: - You can identify an arithmetic sequence by checking for a common difference between terms. - You can identify a geometric sequence by checking for a common...

Pupil outcome: I can identify the features of Fibonacci and alternating sequences. Key learning points: - The next term in the Fibonacci sequence is the sum of the previous two terms. - The Fibonacci sequence can be represented...

Pupil outcome: I can recognise the features of a geometric sequence and continue it. Key learning points: - Identifying a common ratio between each term can help us identify a geometric sequence. - Divide each term by its previous...

Pupil outcome: I can appreciate that there are other number sequences and the limitations of only seeing a few terms of a sequence. Key learning points: - There are more sequences than the ones seen so far. - A numerical sequence is just...

Pupil outcome: I can appreciate the features of a geometric sequence. Key learning points: - Arithmetic sequences are not the only type of sequence. - In a geometric sequence, there is still a first term. - Instead of a common...

Pupil outcome: I can recognise a geometric sequence. Key learning points: - Identifying a common ratio between each term can help us identify a geometric sequence. - Divide each term by its previous consecutive term, if the results are...

In this video, we define sequences and establish some common vocabulary to be used in the following videos.

How do we add up the first "n" terms of a geometric sequence/series? In this video, we derive the equation to find the sum of a geometric series. Then, we use that rule to solve a few example problems where we add up the terms in a...

How can you add up an infinite number of values? In this video we derive the rule and learn how to find the sum of a geometric infinite series. I give a visual example of how we can add up an infinite number of terms in a geometric...

How do geometric sequences & series relate to repeating decimals? In this video we investigate how our knowledge of sum of infinite geometric series help us rewrite repeating decimals as fractions.

In this video, we will determine if sequences are geometric, and we will find the "r" value (common ratio) for geometric sequences

Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...

In this video, we derive the rule for writing geometric sequences using the "n-1" notation.

This video covers how to tell whether a sequence of numbers is an arithmetic or geometric sequence.



This video is suitable for maths courses around
the world.
KS3 - All
on your course
GCSE Foundation -
All on your...