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vera_ewing

  • one year ago

Check my answer please

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  1. phi
    • one year ago
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    what do you get for (1/4)^10 ? use your calculator.

  2. phi
    • one year ago
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    1/1048576 which is roughly 1 divided by 1 million. that is a tiny number. if you keep multiplying by 1/4 you make that number even smaller and if you do that for a long time, you get 1/huge_huge_huge_number which we can call zero for all practical purposes. so eventually the terms are all so close to zero we can ignore them we use the formula \[ S = \frac{1- r^n}{1-r} \] for the sum of n terms here n is infinity which is short for "really big" r is 1/4 we know (1/4)^huge_number is so close to 0 we will use 0 and the sum is \[S= \frac{1- 0}{1-\frac{1}{4}} \] to get your final answer, multiply by 960

  3. phi
    • one year ago
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    yes

  4. anonymous
    • one year ago
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    @phi after this question can you please help me with mine?

  5. phi
    • one year ago
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    they are being tricky. they tell you the first term \(a_1= 960\) that means if you replace i with 1 in their formula, you should get 960 do you ?

  6. phi
    • one year ago
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    for choice C you have \[ 960\cdot \left(\frac{1}{4}\right)^i \] when i is 1 you get \[ 960\cdot \left(\frac{1}{4}\right)^1 \\ 960 \cdot \frac{1}{4} \]

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