Answer:
I have the dot plot blow.
Step-by-step explanation:
Hope it's right and helps.
Answer:
Part 15) The next three terms are 5/8,3/4 and 7/8
Part 16) The 37th term is -35.5
Step-by-step explanation:
we know that
In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant and this constant is called the common difference (d)
Part 15) Find the next three terms of the arithmetic sequence
![\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D%2C%5Cfrac%7B1%7D%7B4%7D%2C%5Cfrac%7B3%7D%7B8%7D%2C%5Cfrac%7B1%7D%7B2%7D%2C...)
so
![a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8](https://tex.z-dn.net/?f=a1%3D1%2F8%5C%5C%20a2%3D1%2F4%5C%5C%20a3%3D3%2F8%5C%5C%20a4%3D1%2F2%5C%5C%20a2-a1%3D1%2F4-1%2F8%3D1%2F8%5C%5C%20a3-a2%3D3%2F8-1%2F4%3D1%2F8%5C%5C%20a4%3Da3%3D1%2F2-3%2F8%3D1%2F8)
The common difference is equal to
d=1/8
<u><em>Find the next three terms of the arithmetic sequence</em></u>
<u><em>Find a5</em></u>
----->
<u><em>Find a6</em></u>
----->![a6=5/8+1/8=3/4](https://tex.z-dn.net/?f=a6%3D5%2F8%2B1%2F8%3D3%2F4)
<u><em>Find a7</em></u>
----->
therefore
The next three terms are
5/8,3/4 and 7/8
Part 16) what is the 37th term of the arithmetic sequence
![4.1,3,1.9,0.8,...?](https://tex.z-dn.net/?f=4.1%2C3%2C1.9%2C0.8%2C...%3F)
so
![a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8](https://tex.z-dn.net/?f=a1%3D4.1%5C%5C%20a2%3D3%5C%5C%20a3%3D1.9%5C%5C%20a4%3D0.8)
![a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1](https://tex.z-dn.net/?f=a2-a1%3D3-4.1%3D-1.1%5C%5C%20a3-a2%3D1.9-3%3D-1.1%5C%5C%20a4%3Da3%3D0.8-1.9%3D-1.1)
The common difference is equal to
d=-1.1
We can write an Arithmetic Sequence as a rule
![an=a1+d(n-1)](https://tex.z-dn.net/?f=an%3Da1%2Bd%28n-1%29)
substitute the values
![an=4.1-1.1(n-1)](https://tex.z-dn.net/?f=an%3D4.1-1.1%28n-1%29)
For n=37
substitute
![a37=4.1-1.1(37-1)](https://tex.z-dn.net/?f=a37%3D4.1-1.1%2837-1%29)
![a37=4.1-1.1(36)](https://tex.z-dn.net/?f=a37%3D4.1-1.1%2836%29)
![a37=-35.5](https://tex.z-dn.net/?f=a37%3D-35.5)
Answer:
the answer is 5x
Step-by-step explanation:
X^2-5x+5x-25 (multiply (x-5) with (x+5))
X^2-25 ( -5x+5x =0)
Answer:
The result will be: 5x³ -11x² -9x + 18