# Generating a sequence using a position-to-term rule

I can appreciate that a sequence can be generated and described by a position-to-term rule.

# Generating a sequence using a position-to-term rule

I can appreciate that a sequence can be generated and described by a position-to-term rule.

## Lesson details

### Key learning points

- The position of a term in the sequence is its term number.
- The general term can be used to identify a specific term.
- The general term can be used to generate a sequence .
- The general term can be used to generate any number in the sequence.
- The general term can be used to describe a sequence.

### Common misconception

The position-to-term rule is the initial term add the common difference.

Once pupils have found the additive pattern get them to write each term as a value add the difference.

### Keywords

Position-to-term - A position-to-term rule describes how to generate the term from the term number.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

-2, -6, -18, -54, ... -

multiply the previous term by 3

-2, -6, -10, -14, ... -

add $$-4$$ to the previous term

-2, -6, -14, -30, ... -

multiply the previous term by 2 then subtract 2

-2, -6, -12, -20, ... -

add $$-4$$, add $$-6$$, add $$-8$$, ...

-2, -6, -14, -26, ... -

add $$-4$$, add $$-8$$, add $$-12$$, ...

-2, -6, -8, -8, ... -

add $$-4$$, add $$-2$$, add 0, ...

## Exit quiz

### 6 Questions

term -

each value or pattern in a sequence

term-to-term rule -

describes how to get from one term to the next

position-to-term rule -

describes how to calculate the term from the term number

sequence -

a succession of values or patterns usually following a rule.

$$T_1$$ -

3

$$T_2$$ -

1

$$T_3$$ -

0

$$T_4$$ -

-2