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Luis counts the total number of ducks swimming on a pond each day. On Monday he counts 1 duck. On Tuesday he counts 2 ducks. On Wednesday he counts 4 ducks. On Thursday he counts 8 ducks. If the pattern continues how many ducks will Luis count on Saturday? And what is the pattern?

User Fearphage
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2 Answers

2 votes
On Saturday he will have 36 ducks and the pattern is multiplying by 2 for each number
User Fullhdpixel
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4 votes

The pattern is: Ducks always swim on that pond in powers of 2 .

Monday ........ 2⁰ = 1
Tuesday ........ 2¹ = 2
Wednesday ... 2² = 4
Thursday ....... 2³ = 8

So
Friday ........... 2⁴ = 16
Saturday ...... 2⁵ = 32 <=== the answer

AND ...
If they kept doing this for a month, then
on the 31st day there would be

2³⁰ = 1,073,741,824 (more than 1 billion) ducks out there !


User Brandon Loudermilk
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