Answer:
(A)-494
Step-by-step explanation:
Given the arithmetic series

The terms in the sequence are:
- When k=1, 4-3k=4-3(1)=1
- When k=2, 4-3k=4-3(2)=-2
- When k=3, 4-3k=4-3(3)=-5
Therefore, the terms in the sequence are: 1, -2, -5, ...
First term, a =1
Common difference, d=-2-1=-3
The sum of an arithmetic series, ![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Therefore:
![S_{19}=\dfrac{19}{2}[2(1)+(19-1)(-3)]\\=9.5[2+18*-3]\\=9.5[2-54]\\=9.5*-52\\=-494](https://tex.z-dn.net/?f=S_%7B19%7D%3D%5Cdfrac%7B19%7D%7B2%7D%5B2%281%29%2B%2819-1%29%28-3%29%5D%5C%5C%3D9.5%5B2%2B18%2A-3%5D%5C%5C%3D9.5%5B2-54%5D%5C%5C%3D9.5%2A-52%5C%5C%3D-494)
The correct option is A.
Answer:
4.5%
Step-by-step explanation:
I am pretty sure that 6 percent of 75 is 4.5..
I hope that this helps u
Answer: x(4x
4
−3)
Step-by-step explanation:
GCF = xx
x(
x
4x
5
+
x
−3x
)
x(4x
4
−3)
9514 1404 393
Answer:
2.25
Step-by-step explanation:
Add the square of half the x-coefficient to complete the square.
(-3/2)² = 9/4 = 2.25