### Instruction: A tree doubled its height every year until it reached a height of 32 feet at the end of 6 years. What was the height of the tree, in feet, at the end of 3 years?### Response: I need to find the height of the tree at the end of 3 years, given that it doubled every year and reached 32 feet at the end of 6 years.
One way to approach this problem is to work backwards from the end of 6 years and divide the height by 2 for each year that I go back.
So, at the end of 6 years, the height was 32 feet.
At the end of 5 years, the height was 32 divided by 2, which is 16 feet.
At the end of 4 years, the height was 16 divided by 2, which is 8 feet.
At the end of 3 years, the height was 8 divided by 2, which is 4 feet.
So the height of the tree at the end of 3 years was 4 feet.