Question

An apple tree produces apples at a constant rate. Every day, it produces double the number of apples it produced the previous day. There were 2 apples on the tree on Sunday. On which day will the tree produce half the number of apples that it produced on Saturday?

• A. Thursday
• B. Sunday
• C. Wednesday
• D. Friday

Answer 1

The correct option is D Friday

There were 2 apples on the tree on Sunday. The tree will produce double the number of apples each consecutive day.

On Monday, the tree produces $2\times 2=2^2$ apples.

On Tuesday, the tree produces $2^2\times 2=2^3=8$ apples.

On Wednesday, the tree produces $2^3\times 2=2^4=16$ apples.

On Thursday, the tree produces $2^4\times 2=2^5=32$ apples.

On Friday, the tree produces $2^5\times 2=2^6=64$ apples.

On Saturday, the tree produces $2^6\times 2=2^7=128$ apples.

Half the number of apples that it produced on Saturday would be $\frac{128}{2}=64$ apples.

So, on Friday, the tree will produce half the number of apples that it produces on Saturday.