You know the Golden Ratio, but what is the Silver Ratio?

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.

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 use my knowledge of non-linear relationships to solve problems. Key learning points: - If you can spot a sequence, it is possible to predict behaviour. - By predicting future behaviour, you can plan how to react. -...

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 expand my thinking on composite functions to consider a more efficient way to write composite functions comprised of many functions. Key learning points: - A composite function could be many iterations of one...

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 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 plot the graph of a special number sequence. Key learning points: - Visual representations of a sequence can help with identification. - Special number sequences can produce interesting graphs.

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...

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.

In this video we tell the tale of the ancient Indian traveller who beat a king at a game of chess and used his knowledge of exponential growth to become rich!