contestada

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?

Respuesta :

Answer:

12,354 leaves

Step-by-step explanation:

Leaves fallen from a maple tree = [tex]\sum_{n=0}^{6}[/tex]  = [tex]384(\frac{3}{2} )^{n}[/tex]

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.

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