Download a. 1, 4, 9, 16, 25... b. 1, 8, 27, 64, 125 Describe each sequence in

a. 1, 4, 9, 16, 25...
b. 1, 8, 27, 64, 125
Describe each sequence in words. What number
comes next in each sequence?
1
When we first started looking at square roots, we drew squares, and
then tried to find the length of each side.
What if we had a cube?
If we knew the volume of a cube, how could we find each side length?
2
A cube root of a number is a number that when multiplied by
itself, and then multiplied by itself again, equals the given
number.
A perfect cube is a number that can be written as the cube
of an integer.
3
So, cube the following numbers:
1
2
3
4
5
6
7
8
9
10
4
What about negative numbers?
For example, what is (-1)3?
Or (-2)3?
(-4)3
5
How do we reverse the cube? (meaning, what is the inverse of cubing a
number?
∛8
∛27
∛-8
6
7