1: 72
2: 32
3: 1/2
I think this is it
Answer:
288 inches.
Step-by-step explanation:
1 yard is 36 inches. Remember that always. Multiply that by 8. That equals 288. So you get you're answer.
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)
=
the sum of the infinite geometric sequence is 1/3
Answer:one for $12 five for $60
Step-by-step explanation: