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?
2 answers:
On Saturday he will have 36 ducks and the pattern is multiplying by 2 for each number
The pattern is: Ducks always swim on that pond <em><u>in powers of 2</u></em> . Monday ........ 2⁰ = 1 Tuesday ........ 2¹ = 2 Wednesday ... 2² = 4 Thursday ....... 2³ = 8 So Friday ........... 2⁴ = 16<em>Saturday ...... 2⁵ = 32</em> <=== the answer AND ... If they kept doing this for a month, then on the 31st day there would be 2³⁰ = <em>1,073,741,824</em> (more than 1 billion) ducks out there !
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