Answer:
answer=30
Step-by-step explanation:
by taking the length as x
1 millimetre = 10 metres
3 millimetres = x
10×3= 30 metres
HOPE THIS HELPS
1. You don't get the full "learning Process".
2. They are not <em><u>always </u></em>the best way/
These are my reasons hope they help! :D
Answer:
Adult tickets= 390
Student ticket= 410
Step-by-step explanation:
4A + 2.5S= 2585
A+ S = 800
A= 800-S
Substitute into the first equation
The formula for a finite geometric series is:
![S_{n} = \frac{ a_{1}(1-r^{n}) }{1-r}](https://tex.z-dn.net/?f=S_%7Bn%7D%20%3D%20%5Cfrac%7B%20a_%7B1%7D%281-r%5E%7Bn%7D%29%20%20%7D%7B1-r%7D%20)
a₁ is the first term of the geometric series. From the given series we can see that the first term of the series is 16.
r is the common ratio of the series. r can be found by dividing a term by its previous term. so r for the given series will be:
r = 24/16 = 3/2
n is the number of terms in the series. We can use the general formula of a Geometric Series to find the number of terms in the given series:
![a_{n} = a_{1} (r)^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%28r%29%5E%7Bn-1%7D%20%20)
We want to find at which number in the series is 81 located. Using the values, we get:
![81=16( \frac{3}{2} )^{n-1} \\ \\ \\ \frac{81}{16}= (\frac{3}{2})^{n-1} \\ \\ ( \frac{3}{2} )^{4} =(\frac{3}{2})^{n-1} \\ \\ n=5](https://tex.z-dn.net/?f=81%3D16%28%20%5Cfrac%7B3%7D%7B2%7D%20%29%5E%7Bn-1%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%0A%20%5Cfrac%7B81%7D%7B16%7D%3D%20%28%5Cfrac%7B3%7D%7B2%7D%29%5E%7Bn-1%7D%20%20%20%20%5C%5C%20%20%5C%5C%20%0A%28%20%5Cfrac%7B3%7D%7B2%7D%20%29%5E%7B4%7D%20%3D%28%5Cfrac%7B3%7D%7B2%7D%29%5E%7Bn-1%7D%20%20%5C%5C%20%20%5C%5C%20%0An%3D5%20)
This means, there are 5 terms in the given series.
Using the values in the formula, we get:
This means, the sum of given geometric series is 211.