Answer:
The original price was $43.50
Step-by-step explanation:
Let
x ----> the original price of a video game
we know that
1) The price of a video game increases by 20%
so
The final price is equal to the original price multiplied by 1.20
so
2) The price of a video game decreases by 10%
so
The final price is equal to the price at this moment multiplied by 0.90
so
we have that
solve for x
1. Perhaps the simplest rule is one that makes this the start of an arithmetic sequence:
Then the sequence will continue ...
... 3, 5, 7, 9, 11, 13, 15, ...
2. We can multiply the two terms by some values, add the results, then add some constant. There are an infinite number of ways to choose such values. Here's one set of numbers that give the third term from the first two:
Then the sequence will continue ...
... 3, 5, 7, 13, 15, 37, 23, ...
3. We can multiply adjacent values and add a constant.
Then the sequence will continue ...
... 3, 5, 7, 28, 188, 5256, 988120, ...