Key Ideas
- Describing a pattern in a sequence
Solving the Question
We're given:
- 1,-3, 9, -27, 81, -243, ...
The first term is 1. It appears that, to get each consecutive term, we have to multiply the previous term by -3.
- i.e. 1 x -3 = -3
- -3 x -3 = 9
- 9 x -3 = -27
Therefore, to get each the next two terms, we have to multiply the previous term by -3.
Answer
Therefore, to get each the next two terms, we have to multiply the previous term by -3.