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

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 identify the features of special number sequences. Key learning points: - Special number sequences are not arithmetic. - Special number sequences are not geometric. - Special number sequences are generated using...

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 use reasoning to derive the sum of interior angles in multiple ways. Key learning points: - Not all vertices of component shapes contribute to the sum of the interior angles of a composite shape. - A numerical...

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 appreciate that any term in an arithmetic sequence can be expressed in terms of its position in the sequence. Key learning points: - The general term of a sequence is called the n^th term. - The value of n tells you...

Pupil outcome: I can recognise the features of a quadratic sequence. Key learning points: - A quadratic sequence does not have a common difference. - The second differences between terms are equal.

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 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 define notation for sequences. Key learning points: - Sequence notation becomes more formal in further studies. - There is notation for a term, the next term and for general terms. - You can use this notation to...

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 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 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...

Pupil outcome: I can identify the term-to-term rule and the position-to-term rule and express the latter algebraically. Key learning points: - The term-to-term rule is the common difference. - Finding the common difference can help when...

Pupil outcome: I can find the n^th term formula for a quadratic sequence. Key learning points: - A quadratic sequence does not have a common difference. - The second differences between terms are equal. - The general n^th term formula is...

Pupil outcome: I can find the n^th term rule by investigating the common difference. Key learning points: - Finding the common difference can help when finding the n^th term rule. - Comparing the sequence to an appropriate multiplication...

Pupil outcome: I can calculate any term using the n^th term. Key learning points: - The position to term rule can be expressed using n. - A sequence can be generated using successive values of n . - Any term can be calculated using the...

In this video, we learn how to use explicit and recursive rules for sequences.

Understanding Explicit and Recursive Rules for Sequences in Go-Kart Pricing Analysis

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.