Answer:
50 i think it is again?!?
Step-by-step explanation:
An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).
The equation for an arithmetic sequence is
![A_{n}=A_{1}+(n-1)d](https://tex.z-dn.net/?f=A_%7Bn%7D%3DA_%7B1%7D%2B%28n-1%29d)
![A_{n}](https://tex.z-dn.net/?f=A_%7Bn%7D)
is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so
![A_{1}=47](https://tex.z-dn.net/?f=A_%7B1%7D%3D47)
<span>d=-2 because the question gives you that
</span>
![A_{n}=A_{1}+(n-1)d](https://tex.z-dn.net/?f=A_%7Bn%7D%3DA_%7B1%7D%2B%28n-1%29d)
<span>
![A_{29}=47+(29-1)(-2)](https://tex.z-dn.net/?f=A_%7B29%7D%3D47%2B%2829-1%29%28-2%29)
</span><span>
![A_{29}=47+(28)(-2)](https://tex.z-dn.net/?f=A_%7B29%7D%3D47%2B%2828%29%28-2%29)
</span><span>
![A_{29}=47+-56](https://tex.z-dn.net/?f=A_%7B29%7D%3D47%2B-56)
</span><span>
![A_{29}=-9](https://tex.z-dn.net/?f=A_%7B29%7D%3D-9)
</span>
The answer is A. -9.
<u> </u>
<span>The answer is C. 158</span>
For the second one, it gives you
![A_{1}=4](https://tex.z-dn.net/?f=A_%7B1%7D%3D4)
and <span>
![A_{}=18](https://tex.z-dn.net/?f=A_%7B%7D%3D18)
You can use this to find d
</span><span>
![A_{n}=A_{1}+(n-1)d](https://tex.z-dn.net/?f=A_%7Bn%7D%3DA_%7B1%7D%2B%28n-1%29d)
</span><span>
![A_{3}=4+(3-1)d](https://tex.z-dn.net/?f=A_%7B3%7D%3D4%2B%283-1%29d)
</span><span>
![18=4+(3-1)d](https://tex.z-dn.net/?f=18%3D4%2B%283-1%29d)
</span><span>
![18=4+2d](https://tex.z-dn.net/?f=18%3D4%2B2d)
</span><span>
![14=2d](https://tex.z-dn.net/?f=14%3D2d)
</span><span>
![7=d](https://tex.z-dn.net/?f=7%3Dd)
</span>
Now you can just solve using the equation normally.
<span>
![A_{n}=A_{1}+(n-1)d](https://tex.z-dn.net/?f=A_%7Bn%7D%3DA_%7B1%7D%2B%28n-1%29d)
</span><span>
![A_{23}=4+(23-1)(7)](https://tex.z-dn.net/?f=A_%7B23%7D%3D4%2B%2823-1%29%287%29)
</span><span>
![A_{23}=4+(22)(7)](https://tex.z-dn.net/?f=A_%7B23%7D%3D4%2B%2822%29%287%29)
</span><span>
![A_{23}=4+154](https://tex.z-dn.net/?f=A_%7B23%7D%3D4%2B154)
</span><span>
![A_{23}=158](https://tex.z-dn.net/?f=A_%7B23%7D%3D158)
</span>
The answer is C. 158
Answer:
4 + 12 + 36 + ...
Step-by-step explanation:
4, 12, 36, ... is a geometric sequence, it has a common ratio of ![r=\frac{36}{12}=\frac{12}{4}=3](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B36%7D%7B12%7D%3D%5Cfrac%7B12%7D%7B4%7D%3D3)
When we add the terms of a geometric sequence we get a geometric series.
4+12+36+ ... is a geometric series, it has a common ratio of ![r=\frac{36}{12}=\frac{12}{4}=3](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B36%7D%7B12%7D%3D%5Cfrac%7B12%7D%7B4%7D%3D3)
4 + 12 + 20 + ... is not a geometric series because it has no common ratio
![\frac{20}{12}\ne \frac{12}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B12%7D%5Cne%20%5Cfrac%7B12%7D%7B4%7D)
The second choice is correct
The largest number of people that could have attended the event would be 849,999. If it was 850,000 it would be rounded up to 900,000.
The smallest number of people that could have attended would be 750,000. If there was 749,999, it would be rounded down to 700,000.
Hope this helps!
5n = 25
divide both sides by 5
n = 5