The first term of this series (a+1) is 1 and the common ratio (r) is -3.
Thus, the explicit formula is a_n = 1*(-3)^(n-1).
Must check this! suppose we try to calculate the 3rd term. Then n = 3.
a_3 = 1*(-3)^(3-1) = (-3)^2 = 9. This is correct.
Answer:
where
is the amount of banners sold.
Step-by-step explanation:
We know the team has already spent $40, and they earn #3.5 per banner.
Hence, with
representing the amount of banners sold, the equation is ![3.5b - 40](https://tex.z-dn.net/?f=3.5b%20-%2040)
Answer:
Option 3 - 4 miles
Step-by-step explanation:
Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles.
To find : How far apart are the police station and the fire station?
Solution :
Let the distance between police station and fire station be 'x'.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.
i.e. ![2x-3](https://tex.z-dn.net/?f=2x-3)
The distance between the library and the police station is 5 miles.
i.e. ![2x-3=5](https://tex.z-dn.net/?f=2x-3%3D5)
![2x=5+3](https://tex.z-dn.net/?f=2x%3D5%2B3)
![2x=8](https://tex.z-dn.net/?f=2x%3D8)
![x=4](https://tex.z-dn.net/?f=x%3D4)
Therefore, The police and fire stations is 4 miles apart.
So, Option 3 is correct.
The direct variation between x and y may be written as,
y = kx
where k is the constant of variation. From the first set of values of the variables,
12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
y = 1.5(14)
The value of y is 21.