Answer:
200*(1/2)^n
Step-by-step explanation:
This question can be solved by substituting the value of n= 1,2,3,4 in the both of the expression as there are four terms in the series.
For first expression 100*(1/2)^n-1
![Term1 = 100*(1/2)^1 - 1 = 49\\\\Term2 = 100*(1/2)^2 - 1 = 24\\\\Term3 = 100*(1/2)^3 - 1 = 11.5\\\\Term4 = 100*(1/2)^16 - 1 = 5.25\\\\Hence \ the \ series \ is \ 49, 24, 11.5, 5.25\\\\For \ expression 200*(1/2)^n\\Term1 = 200*(1/2)^1 = 100\\\\Term2 = 200*(1/2)^2 = 50\\\\Term3 = 200*(1/2)^3 = 25\\\\Term4 = 200*(1/2)^2 = 12.5\\\\Hence \ the \ series \ is \ 100, 50, 25,12.5\\](https://tex.z-dn.net/?f=Term1%20%3D%20%20100%2A%281%2F2%29%5E1%20%20-%201%20%3D%2049%5C%5C%5C%5CTerm2%20%3D%20%20100%2A%281%2F2%29%5E2%20%20-%201%20%3D%2024%5C%5C%5C%5CTerm3%20%3D%20%20100%2A%281%2F2%29%5E3%20-%201%20%3D%2011.5%5C%5C%5C%5CTerm4%20%3D%20%20100%2A%281%2F2%29%5E16%20%20-%201%20%3D%205.25%5C%5C%5C%5CHence%20%5C%20the%20%5C%20series%20%5C%20is%20%5C%2049%2C%2024%2C%2011.5%2C%205.25%5C%5C%5C%5CFor%20%20%5C%20expression%20%20200%2A%281%2F2%29%5En%5C%5CTerm1%20%3D%20%20200%2A%281%2F2%29%5E1%20%20%20%3D%20100%5C%5C%5C%5CTerm2%20%3D%20%20200%2A%281%2F2%29%5E2%20%20%3D%2050%5C%5C%5C%5CTerm3%20%3D%20%20200%2A%281%2F2%29%5E3%20%3D%2025%5C%5C%5C%5CTerm4%20%3D%20%20200%2A%281%2F2%29%5E2%20%3D%2012.5%5C%5C%5C%5CHence%20%5C%20the%20%5C%20series%20%5C%20is%20%5C%20100%2C%2050%2C%2025%2C12.5%5C%5C)
Thus formula 200*(1/2)^n correctly expresses the sequence 100, 50, 25,12.5
I’m guessing you mean 1/9 of a mile.
1/9 of a mile is 195yards
(195 yds x 4 laps) = 780yds
So she ran 780 yards or
0.0443182 miles
Next time make sure to be more specific of your question.
The answer to ur question is 5/5
Answer:
incenter
Step-by-step explanation: