Answer:
75
Step-by-step explanation:
Answer:
The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8
Step-by-step explanation:
Given pattern of integers is -2,-1,-1,0,-1,1,-2
To find their next 3 numbers of the given pattern :
Let ![a_{1}=-2](https://tex.z-dn.net/?f=a_%7B1%7D%3D-2)
![a_{2}=-1](https://tex.z-dn.net/?f=a_%7B2%7D%3D-1)
![a_{3}=a_{1}-a_{2}](https://tex.z-dn.net/?f=a_%7B3%7D%3Da_%7B1%7D-a_%7B2%7D)
![=-2-(-1)](https://tex.z-dn.net/?f=%3D-2-%28-1%29)
![=-2+1](https://tex.z-dn.net/?f=%3D-2%2B1)
Therefore ![a_{3}=-1](https://tex.z-dn.net/?f=a_%7B3%7D%3D-1)
![a_{4}=a_{2}-a_{3}](https://tex.z-dn.net/?f=a_%7B4%7D%3Da_%7B2%7D-a_%7B3%7D)
![=-1-(-1)](https://tex.z-dn.net/?f=%3D-1-%28-1%29)
![=-1+1](https://tex.z-dn.net/?f=%3D-1%2B1)
Therefore
Similarly we have
,
,
The general form to the given pattern is
for ![n={\{1,2,3,4,5,6,7,8,9,10}\}](https://tex.z-dn.net/?f=n%3D%7B%5C%7B1%2C2%2C3%2C4%2C5%2C6%2C7%2C8%2C9%2C10%7D%5C%7D)
Therefore to find the
Put n=8 in ![a_{n}=a_{n-2}-a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7Bn-2%7D-a_%7Bn-1%7D)
![a_{8}=a_{8-2}-a_{8-1}](https://tex.z-dn.net/?f=a_%7B8%7D%3Da_%7B8-2%7D-a_%7B8-1%7D)
![=a_{6}-a_{7}](https://tex.z-dn.net/?f=%3Da_%7B6%7D-a_%7B7%7D)
![=1-(-2)](https://tex.z-dn.net/?f=%3D1-%28-2%29)
![a_{8}=3](https://tex.z-dn.net/?f=a_%7B8%7D%3D3)
Put n=9 in ![a_{n}=a_{n-2}-a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7Bn-2%7D-a_%7Bn-1%7D)
![a_{9}=a_{9-2}-a_{9-1}](https://tex.z-dn.net/?f=a_%7B9%7D%3Da_%7B9-2%7D-a_%7B9-1%7D)
![=a_{7}-a_{8}](https://tex.z-dn.net/?f=%3Da_%7B7%7D-a_%7B8%7D)
![=-2-(3)](https://tex.z-dn.net/?f=%3D-2-%283%29)
![a_{9}=-5](https://tex.z-dn.net/?f=a_%7B9%7D%3D-5)
Put n=10 in ![a_{n}=a_{n-2}-a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7Bn-2%7D-a_%7Bn-1%7D)
![a_{10}=a_{10-2}-a_{10-1}](https://tex.z-dn.net/?f=a_%7B10%7D%3Da_%7B10-2%7D-a_%7B10-1%7D)
![=a_{8}-a_{9}](https://tex.z-dn.net/?f=%3Da_%7B8%7D-a_%7B9%7D)
![=3-(-5)](https://tex.z-dn.net/?f=%3D3-%28-5%29)
![a_{10}=8](https://tex.z-dn.net/?f=a_%7B10%7D%3D8)
Therefore the next 3 numbers are 3,-5,8
Answer:
3/5
Step-by-step explanation:
60 percent is the fraction 60/100 and simplifyping that by ten is 6/10
6/10 divided by two is 3/5
The answer is B. The data is similar throughout the line.
The overall equation we can generate from the problem is:
C = (28 + p) * x
where C is the total cost, p is the payment for the
locker, and x the number of people
We can calculate for p:
180 = (28 + p) * 5
28 + p = 36
p = 8
Therefore the cost of one person, x = 1:
C = (28 + 8) * 1
C = $36
Answer:
<span>$36</span>