Geometric sequence 1 on mymaths

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

8 0

Answer:

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The colony begins with 97 cells. The cells split into two which is the same as multiplying by 0.5.

2. Multiply 97 by 0.5 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

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L = total number of slices for Luke

K = total number of slices for Kira

A = total number of slices for Ali

$\stackrel{\textit{two thirds of all slices}}{\cfrac{2}{3}L}=4\implies 2L=12\implies L=\cfrac{12}{2}\implies L=6 \\\\\\ \stackrel{\textit{two thirds of all slices}}{\cfrac{2}{3}K}=6\implies 2K=18\implies K=\cfrac{18}{2}\implies K=9 \\\\\\ \stackrel{\textit{two thirds of all slices}}{\cfrac{2}{3}A}=8\implies 2A=24\implies A=\cfrac{24}{2}\implies A=12$