I can recognise the features of a geometric sequence and continue it.
I can recognise the features of a geometric sequence and continue it.
Geometric sequence - A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.
Common ratio - A common ratio is a key feature of a geometric sequence. The constant multiplier between successive terms is called the common ratio.
The common multiplier must be a positive integer for the sequence to be geometric.
The multiplier needs to be the same between consecutive terms but it can be any value. Examples of this can be seen in the lesson.
Loading...
$$2,4,6,8,10, ...$$ -Â 'Start at $$2$$ and add $$2$$'
$$2,4,8,16,32, ...$$ -Â 'Start at $$2$$ and double each time'
$$1,2,4,8,16, ...$$ -Â 'Start at $$1$$ and double each time'
$$1,2,3,4,5, ...$$ -Â 'Start at $$1$$ and add $$1$$'
$$1,3,5,7,9, ...$$ -Â 'Start at $$1$$ and add $$2$$'
$$2,0,-2,-4,-6, ...$$ -Â 'Start at $$2$$ and add $$-2$$'
