Times -1/2 each time
common ratio is -1/2
|-1/2|<1 so the series converges
the sum of an infinite geometric sequence when the common ratio is r and the first term is a1 is
![S=\frac{a_1}{1-r}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Ba_1%7D%7B1-r%7D)
the first term is 1/2 and r=-1/2
![S=\frac{\frac{1}{2}}{1-\frac{-1}{2}}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B1-%5Cfrac%7B-1%7D%7B2%7D%7D)
=
![S=\frac{\frac{1}{2}}{1+\frac{1}{2}}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B1%2B%5Cfrac%7B1%7D%7B2%7D%7D)
=
![S=\frac{\frac{1}{2}}{\frac{3}{2}}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D)
=
![S=(\frac{1}{2})(\frac{2/3})](https://tex.z-dn.net/?f=S%3D%28%5Cfrac%7B1%7D%7B2%7D%29%28%5Cfrac%7B2%2F3%7D%29)
=
![S=\frac{2}{6}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B2%7D%7B6%7D)
=
![S=\frac{1}{3}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B1%7D%7B3%7D)
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the sum of the infinite geometric sequence is 1/3
Answer:
f(1) = 1
Step-by-step explanation:
The value of f(1) simply means what is the corresponding output we would get for an input of 1.
This also implies that for what of y is x equal to 1?
From the graph, when x = 1, y = 1.
Thus:
f(1) = 1
number of face cards in a deck of 52 cards = 12
total number of cards = 52
ways of choosing 'n' cards from 52 cards = ⁵²Cⁿ = 52!/(n!)(52-n)!
ways of choosing 'n' face cards = ¹²Cⁿ = 12!/(n!)(12-n)!
Probability = favorable outcomes/total outcomes
Probability of choosing n face cards = ¹²Cⁿ/⁵²Cⁿ
Probability of choosing n face cards = (12!/(n!)(12-n)!) / 52!/(n!)(52-n)!
= [ 12! * (52-n)! ]/[ (12-n)! * 52!)
The answer is thirty six miles
Positive 10
Hope this helps you out