# Generalising arithmetic sequences through tracking calculations

## Lesson details

### Key learning points

1. In this lesson, we will learn to use tracking calculations to generalise 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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### 4 Questions

Q1.
In a six column grid, the columns give us sequences that contain the multiples of ___.
1
4
5
Q2.
What are the first 5 terms in column a?
Correct answer: 5, 10, 15, 20, 25
5, 6, 7, 8, 9
5, 9, 13, 17, 21
Q3.
What are the first 5 terms in the number sequence in column b?
Correct answer: 8, 13, 18, 23, 28
8, 16, 24, 32, 40
8, 9, 10, 11, 12
Q4.
What are the tracking calculations for the five terms in column b?
Correct answer: 5 x 1 + 3, 5 x 2 + 3, 5 x 3 + 3, 5 x 4 + 3, 5 x 5 + 3
5 x 1, 5 x 2, 5 x 3, 5 x 4, 5 x 5
8 x 1, 8 x 2, 8 x 3, 8 x 4, 8 x 5

## Exit 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