Answer:
The sum of the first 18 odd positive integers is 324.
Step-by-step explanation:
Given : The first 18 odd positive integers.
To find : The sum of the first 18 odd positive integers?
Solution :
The odd positive integers are 1,3,5,.... forming an Arithmetic sequence .
Where, First term is a=1
Common difference is d=2
Number of terms n=18
The sum of A.P formula is
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Substitute the values in the formula,
![S_{18}=\frac{18}{2}[2(1)+(18-1)2]](https://tex.z-dn.net/?f=S_%7B18%7D%3D%5Cfrac%7B18%7D%7B2%7D%5B2%281%29%2B%2818-1%292%5D)
![S_{18}=9[2+(17)2]](https://tex.z-dn.net/?f=S_%7B18%7D%3D9%5B2%2B%2817%292%5D)
![S_{18}=9[2+34]](https://tex.z-dn.net/?f=S_%7B18%7D%3D9%5B2%2B34%5D)
![S_{18}=9[36]](https://tex.z-dn.net/?f=S_%7B18%7D%3D9%5B36%5D)
Therefore, The sum of the first 18 odd positive integers is 324.
Answer: 29 Hours of Work
Step-by-step explanation: Let's start by working backwards.. We know that Ken makes 5 dollars an hour, and he worked 40 hours. 5 * 40 = 200, and 400-200 = 200. This means that Kim has to work 200/7 hours, or (approximately) 29 hours of work.
Answer:
The answer Is c. 13248 because i know
Step-by-step explanation:
I rather not
Answer:
Step-by-step explanation:
Hello!
Y varies directly with X, meaning that every time X increases/ decreases, the value of Y is modified.
If Y=12 when X=4 then you can say that Y varies 3 times every time X varies 1 unit
12= 4*z
z=12/4= 3
So Y= 3x
With this in mind:
1) x= 8
Y= 3*8= 24
2) x= 3
Y= 3*3= 9
3) Y= 6
Y= 3x
x=Y/3= 6/3= 1
I hope this helps!
Answer:
It’s B
Step-by-step explanation:
