In this shorts video we will write an arithmetic sequence expression. We will begin by understanding why the given sequence is arithmetic. We will review how to write an expression for an arithmetic sequence. We will begin by...

In this math video, we’ll explore how to find the nth term of an arithmetic sequence step by step — using the problem:
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The first term of an arithmetic sequence is 5. The third term is 13. Which of the following...

A video entitled "Recursive Formula Arithmetic" which talks about arithmetic sequences.

A video entitled "Explicit Formula Arithmetic" which talks about arithmetic sequences.

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 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 appreciate that there are two key elements to any linear relationship: rate of change and intercept point. Key learning points: - There is always a common difference in an arithmetic sequence. - There is always a...

Pupil outcome: I can represent, algebraically and graphically, a set of coordinates constructed according to a mathematical rule. Key learning points: - An arithmetic sequence can be generated using an n^th term rule.. - The term numbers...

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 appreciate that any term in an arithmetic sequence can be expressed in terms of its position in the sequence and generate any term. Key learning points: - An arithmetic sequence can be identified through a common...

Pupil outcome: I can recognise that linear relationships have particular algebraic and graphical features as a result of the constant rate of change. Key learning points: - A linear graph can be described by its features. - All the...

Pupil outcome: I can appreciate the features of an arithmetic sequence and be able to recognise one. Key learning points: - Finding the difference between each term can help you identify different types of sequence. - Sequences with a...

Pupil outcome: I can use my knowledge of sequences to solve problems. Key learning points: - Patterns can be described using sequences. - Sequences can be found for given terms even if they are not sequential . - It is possible to...

Pupil outcome: I can recognise that an arithmetic sequence can be shown graphically and how this relates to the equation of a linear graph and use this to find the n^th term formula. Key learning points: - The n^th term rule can be...

Pupil outcome: I can begin to generalise a sequence. Key learning points: - The n^th term is the generalised way of expressing any term in a sequence. - For an arithmetic sequence, it will have the form d(n-1)+a - The a refers to the...

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 calculate compound interest. Key learning points: - Compound interest can be thought of as a geometric sequence - You can apply your knowledge of geometric sequences to solve algebraic compound interest problems

Pupil outcome: I can find the first value bigger or smaller than a given value in a sequence. Key learning points: - The n^th term rule can calculate the position of the value that is equal to the given value. - If this is not an...

Pupil outcome: I can identify through the n^th term whether a value appears in a given sequence. Key learning points: - The n^th term rule can identify what term number a given number is. - If the term number is not a positive integer,...

Pupil outcome: I can determine whether a number is a term of a given arithmetic sequence. Key learning points: - A graph can be used to identify if a particular number is a term in a sequence. - The nth term rule can be used to determine...

Pupil outcome: I can use technology to quickly represent a set of coordinates graphically. Key learning points: - A table can be used to plot coordinates on Desmos. - It is easy to see if any of the points do not fit the pattern. - It is...

Pupil outcome: I can represent arithmetic sequences graphically and appreciate the common structure. Key learning points: - The terms in a sequence can be written as coordinates. - The coordinates can be plotted on a grid. - Arithmetic...

Pupil outcome: I can reason whether a value appears in a given sequence. Key learning points: - It is possible to generate the sequence and therefore show whether a value appears in the sequence. - It is possible to use your knowledge of...