# Growing pattern sequences

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## Lesson details

### Key learning points

- In this lesson, we will learn how to find terms in growing pattern sequences using squares and dots.

### 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.

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### 5 Questions

Q1.

What is the tracking calculation for the grouping of this 3-chain?

27

8 + 8 + 1

9 x 3 + 1

Q2.

If the tracking calculation for this 3-chain is 8 x 3 + 1, what would the tracking calculation for a 20-chain?

20 x 3 + 1

8 x 3 + 20

Q3.

What is the tracking calculation for the grouping of this 3-chain?

3 x 6 + 3 +1

3 x 7 + 4

3 x 8 + 3 + 1

Q4.

If the tracking calculation for this 3-chain is 3 x 7 + 3 + 1, what would be the tracking calculation for an 100-chain?

100 x 7 + 3 + 1

100 x 7 + 4

3 x 100 + 100 + 1

Q5.

Using the grouping of this 3-chain, what is the tracking calculation for an n-chain? Write you answer as an algebraic expression.

3n + 1

3n + 8

n x 8 + 1

### 5 Questions

Q1.

Which definition best describes an arithmetic sequence?

A sequence that goes up by 2 each time.

A sequence where we can easily find the nth term.

A sequence where we cannot find the nth term.

Q2.

Which of the following is NOT an arithmetic sequence?

-2n - 4

-3, -1, 1, 3, 5, ...

0.5, 1.5, 2.5, 3.5, 4.5, ...

Q3.

Which of the following statements is true?

Arithmetic sequences cannot have decimal numbers in them.

Arithmetic sequences cannot have negative numbers in them.

It is impossible to find the nth term of a sequence that isn't arithmetic.

Q4.

How many squares does the next term in this sequence have?

16

19

26

Q5.

What is the nth term of the sequence in the image?

4n - 3

5n - 3

n + 5