# The nth term rule: Position-to-term for arithmetic sequences

## Lesson details

### Key learning points

1. In this lesson, we will learn to find and understand the nth term rule for arithmetic sequences.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 3 Questions

Q1.
Look at the number grid shown on the right. Write down the column and row that match the tracking calculation 5 x 3 - 1
Row 1 Column C
Row 3 Column B
Correct answer: Row 3 Column C
Row 3 Column E
Q2.
Look at the same number grid. Pick the tracking calculation that matches column E row 25.
5 x 24 + 1
5 x 25
5 x 25 - 1
Correct answer: 5 x 25 + 1
Q3.
Look at the same number grid. Which column and row would 38 fall into?
Correct answer: Row 8 Column B
Row 8 Column C
Row 9 Column B
Row 9 Column C

## Exit quiz

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### 5 Questions

Q1.
Which column has the position-to-term rule 4n + 1?
A
B
D
Q2.
Which column has the position-to-term rule 4n - 1?
B
C
D
Q3.
Work out the position-to term-rules for column a.
5n + 11
5n + 6
6n + 1
Q4.
Work out the position-to term-rules for column b.
6n + 3
8n
8n + 14
Q5.
Work out position-to-term rules for the sequence 3, 7, 11, 15, 19, ...
3n
3n + 7