Geometric sequences of numbers
A geometric sequence increase or decrease by a common factor - the common ratio.
The common ratio is 2. We can write this as an algebraic expression.
Where an is the first number (in this case 2).
r is the common factor (in this case 2).
n is the place in the set the number has (2 has n = 1, 8 has n = 3 etc.
We can rewrite this formula for our specific sequence:
If we would like to know the next number in the sequence after 32. The next number in the sequence is the 6th number. This gives us:
Find the eighth number