Question

A maple tree loses 384 leaves during the first week of fall, and 3/2 as many each successive week. At the end of 7 weeks, all the leaves have fallen. How many leaves fell from the tree?

Answer 1

12,354 leaves

Explanation:

Leaves fallen from a maple tree =
`\sum_(n=0)^(6)` =
`384((3)/(2) )^(n)`

At the end of 7 weeks

= 384 + 384(1.5) + 384(1.5)² + 384(1.5)³ + 384(1.5)⁴ + 384(1.5)⁵ + 384(1.5)⁶

= 12,354 leaves

12,354 leaves fell from the tree.