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Dad dreamed that he put $1 on the first square,$2 on the second, $4 dollars on the third, and so on, doubling the amount each time.If it costs $65,535 to cover all the squares,how many squares were in Dad's dream?
 one year ago
 one year ago
Dad dreamed that he put $1 on the first square,$2 on the second, $4 dollars on the third, and so on, doubling the amount each time.If it costs $65,535 to cover all the squares,how many squares were in Dad's dream?
 one year ago
 one year ago

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satellite73Best ResponseYou've already chosen the best response.1
\[1+2+2^2+2^3+...+2^{n1}=2^n65535\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
oops i mean \[=2^n1=65535\]
 one year ago

3psilonBest ResponseYou've already chosen the best response.0
My book says there are 16 squares but only 1 covered ?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\[2^n1=65535\] \[2^n=65526\] and \[2^{16}=65536\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
another typo, \(2^n=65536\)
 one year ago

wioBest ResponseYou've already chosen the best response.1
It's a geometric series, right? So in general we use: \[ \Large \sum_{i=0}^{n1}a_0r^i = a_0\frac{1r^n}{1r} \]
 one year ago

wioBest ResponseYou've already chosen the best response.1
Where \(a_0 = 1\) and \(r=2\)...
 one year ago

nia_2012Best ResponseYou've already chosen the best response.0
65535 = 2^16  1 > 16 squares
 one year ago
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