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The area of a pond covered by algae is (1)/(4) of a square meter on day 1 and it doubles each day. complete the table
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The area of a pond covered by algae is (1)/(4) of a square meter on day 1 and it doubles each day. complete the table
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Sep 3, 2023
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the area of a pond covered by algae is
of a square meter on day 1 and it doubles each day. complete the table
Mathematics
high-school
Hung Hoang
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Hung Hoang
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The complete table of the algae area is:
Day 1 2 3 4 5 6
Area 1/2 1 2 4 8 16
How to complete the table?
The initial area is given as;
A(1) = 1/2 square meters
When it doubles every day, we have:
A(n) = 2 * A(n - 1) where A(1) = 2
So, we have the following values
A(2) =1/2 * 2 = 1
A(3) =1*2 = 2
A(4) = 2 * 2 = 4
A(5)=4*2=8
A(6) = 8 * 2 = 16
Hence, the complete table is:
Day 1 2 3 4 5 6
Area 1/2 1 2 4 8 16
LegendDemonSlayer
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Sep 8, 2023
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LegendDemonSlayer
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