vera_ewing
  • vera_ewing
Check my answer please
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
phi
  • phi
what do you get for (1/4)^10 ? use your calculator.
phi
  • phi
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
phi
  • phi
yes

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anonymous
  • anonymous
@phi after this question can you please help me with mine?
phi
  • phi
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 ?
phi
  • phi
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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