A square number is the product of two repeated integers.

A cube number is the product of three repeated integers.

A triangular number (or triangle number) is a number that can be represented by a pattern of dots arranged into an equilateral triangle.

A sequence is an ordered list of terms, usually formed according to a rule.

The nth term of a sequence is the position of a term in a sequence where n stands for the term number.

Checking and securing understanding of special number sequences

Maths

Fibonacci and alternating sequences

Checking and securing rules for generating arithmetic sequences

Identifying values in an arithmetic sequence

Reasoning about values in an arithmetic sequence

Conditions in arithmetic sequences

Arithmetic sequences and their graphs

Checking and securing understanding of geometric sequences

Problem solving with further sequences

In the prior unit, pupils considered other types of graphs. In this unit, pupils consider different types of sequences such as Fibonacci and oscillating. Their knowledge is consolidated by linking all prior learning together.

In this unit, pupils consider different types of sequences such as Fibonacci and oscillating sequences. They then consolidate their knowledge of different types of sequences by solving contextual problems.

Further sequences

A Fibonacci sequence is a sequence where each term is the sum of the two previous terms.

An alternating sequence is a sequence where consecutive terms change sign.

An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.

The n^th term of a sequence is the position of a term in a sequence where n stands for the term number.

A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.

A common ratio is a key feature of a geometric sequence. The constant multiplier between successive terms is called the common ratio.

Interest is money added to savings or loans.

Compound interest is calculated on the original amount and the interest accumulated over the previous period.

In a geometric sequence, the constant multiplier between successive terms is called the common ratio.

Help using Oak

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Primary

Year 7

Year 8

Year 9

Year 10

Year 11

Secondary

Who we are

Meet the team

Oak's curricula

Get involved

Contact us

About us

AI experiments

Plan a lesson

Blogs

Webinars

Help

Guidance

Art and design

Computing

Cooking and nutrition

Design and technology

English

Geography

History

Music

Physical education

Religious education

RSHE (PSHE)

Science

Digital literacy

Financial education

Rule of law

French

Spanish

Expressive arts and design

Literacy

Personal, social and emotional development

Understanding the world

EYFS

Keystages

Citizenship

German

Biology

Chemistry

Citizenship (Core)

Citizenship (GCSE)

Combined science

Computer Science (GCSE)

Computing (Core)

Physical education (Core)

Physical education (GCSE)

Physics

Religious education (Core)

Religious education (GCSE)

Edexcel

Eduqas

Edexcel B

Foundation

Higher

Choose exam board for KS4 Biology

Choose exam board for KS4 Chemistry

Choose exam board for KS4 Combined science

Choose exam board for KS4 Computer Science (GCSE)

Choose exam board for KS4 English

Choose exam board for KS4 French

Choose exam board for KS4 Geography

Choose exam board for KS4 German

Choose exam board for KS4 History

Choose tier for KS4 Maths

Choose exam board for KS4 Music

Choose exam board for KS4 Physical education (GCSE)

Choose exam board for KS4 Physics

Choose exam board for KS4 Religious education (GCSE)

Choose exam board for KS4 Spanish

Further sequences

Choose a lesson (9)