In a videogame, you will get 3 points at the end of the first level. For eachlevel that you pass, your points are multiplied with 3. How many points doyou have at the end of the 6th level?
Question
In a videogame, you will get 3 points at the end of the first level. For eachlevel that you pass, your points are multiplied with 3. How many points doyou have at the end of the 6th level?
Solution
To solve this problem, you need to understand that the points are being multiplied by 3 at the end of each level. This is an example of exponential growth.
Here are the steps to solve the problem:
- At the end of the first level, you have 3 points.
- At the end of the second level, your points are multiplied by 3, so you have 3*3 = 9 points.
- At the end of the third level, your points are again multiplied by 3, so you have 9*3 = 27 points.
- At the end of the fourth level, your points are multiplied by 3, so you have 27*3 = 81 points.
- At the end of the fifth level, your points are multiplied by 3, so you have 81*3 = 243 points.
- At the end of the sixth level, your points are multiplied by 3, so you have 243*3 = 729 points.
So, at the end of the 6th level, you have 729 points.
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