I'll do problem 13 to get you started.
The expression
is the same as ![4\left(\frac{2}{7}\right)^n](https://tex.z-dn.net/?f=4%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5En)
Then we can do a bit of algebra like so to change that n into n-1
![4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\](https://tex.z-dn.net/?f=4%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5En%5C%5C%5C%5C4%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5En%2A1%5C%5C%5C%5C4%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5En%2A%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5E%7B0%7D%5C%5C%5C%5C4%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5En%2A%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5E%7B1-1%7D%5C%5C%5C%5C4%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5En%2A%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5E%7B1%7D%2A%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5E%7B-1%7D%5C%5C%5C%5C4%2A%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5E%7B1%7D%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5En%2A%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5E%7B-1%7D%5C%5C%5C%5C%5Cfrac%7B8%7D%7B7%7D%5Cleft%28%5Cfrac%7B2%7D%7B7%7D%5Cright%29%5E%7Bn-1%7D%5C%5C%5C%5C)
This is so we can get the expression in a(r)^(n-1) form
- a = 8/7 is the first term of the geometric sequence
- r = 2/7 is the common ratio
Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).
We'll plug those a and r values into the infinite geometric sum formula below
S = a/(1-r)
S = (8/7)/(1 - 2/7)
S = (8/7)/(5/7)
S = (8/7)*(7/5)
S = 8/5
S = 1.6
------------------------
Answer in fraction form = 8/5
Answer in decimal form = 1.6
Answer:
4.0
Step-by-step explanation:
when rounded the nine adds to the whole number making it 4
<span>Found the complete problem, see attachment.
My answer:
C and Y are not independent events because P(C∣Y) ≠ P(C).
Probability of C = 110/300 = 0.37
Probability of Y = 75/300 = 0.25
Probability of (C|Y) = 0.37 * 0.25 = 0.0925
As you can see, </span><span>P(C∣Y) is 0.0925 which is not equal to P(C) = 0.37. Thus, C and Y are not independent events. </span><span>
</span>
Well the solution is (-3, 3). So I hope that with that you can find which statement is true on your own.
Answer:
288
Step-by-step explanation:
- L × W × H = V
- 10 × 18 × 1.6 = 288
I hope this helps!