Warm Up
- 40, 120, 360, 1,080, 3,240
- 2, 8, 32, 128, 512
- 1,000, 500, 250, 125, 62.5
- 256, 192, 144, 108, 81
1.
What do you notice?
Compare your answers:
- The first two sequences are increasing, and the second two are decreasing.
- The next number in the list comes from always multiplying the previous number by the same value.
- If we choose a number in the list and divide it by the previous number, we always get the same value.
2.
What do you wonder?
Compare your answers:
- Why do all the sequences start with even numbers?
- Will the last sequence eventually have decimal numbers like the one before it since it is also decreasing?
- Are these sequences related in some way?
- Is the next term of the second sequence 1,024?