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.

Checking and securing understanding of geometric sequences

Maths

Checking and securing understanding of special number sequences

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

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

Arithmetic (linear) sequences have a common additive difference between successive terms and geometric sequences have a common __________ difference between successive terms.

What is the term-to-term rule of this sequence? $$4, 12, 36, 108, ...$$

Which of these are terms in the geometric sequence which starts like this? $$1600, 400, 100, ...$$

What is the missing first term in this geometric sequence? {{}}$$, 91, 637, 4459, ...$$

What could the missing term in this geometric sequence be? $$8,$$ ... $$,32$$

$$32-21=11$$, $$43-32=11$$ and $$54-43=11$$ shows that there is __________ additive difference between successive terms in this sequence.  $$21, 32, 43, 54, ...$$

Which of the below sequences matches the description "start at $$5$$ and add four"?

By what do we have to multiply $$13$$ to get to $$234$$? {{}}

Match the sequences to their descriptions.

What is the next term in this sequence? $$-5, 10, -20, 40,$$  {{}}

Checking and securing understanding of geometric sequences

Lesson outcome