Bender is 2m tall. He uses a machine that creates 2 clones of him self at 60% his height. Then his clones use this machine as well and create 2 more clones each at 60% of their height. If this continues what is the height of each new generation of Benders. If you can i would prefer the equation in y=mX+b format.
Bender's height
2
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linear-algebra
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1What are you trying to describe? Bender is 2 m tall, each of his immediate copies is 1.2 m tall, and each of their copies is 0.72 m tall. The total height of Bender’s immediate copies is 2.4 m, the total height of their copies is 2.88 m, and the total height of all seven is 7.28 m. That’s about all there is to say, unless you’re asking something about what happens if this process continues indefinitely. – 2012-02-25
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0basically i mean if every knew generation of bender is 60% that of the last one starting at 2m, what is the linear equation for this in y=mX+b format – 2012-02-25
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1Do you want to know what the height of the $n$-th generation copies is in terms of $n$? That’s not a linear function. If we call Bender generation $0$, the height of each copies in generation $n$ is $2(0.6)^n$, and the total height of all $2^n$ copies in generation $n$ is $2(1.2)^n$. – 2012-02-25
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1Let me put it this way: *What do $y$ and $x$ stand for*? – 2012-02-25