Answer:
4≤w≤6
Step-by-step explanation:
24 ≤ w (w + 2) ≤ 48 = 4≤w≤6
1 cm = 4 km
2.2 cm = ___ km
2.2cm = 8.8 km
Rico rode his bicycle there and back, this means you double the distance.
8.8 km × 2 = 17.6 km
Answer:
remove the zero pairs
Step-by-step explanation:
just did the answer :)
Answer:
![a_1=2](https://tex.z-dn.net/?f=a_1%3D2)
![a_{20}=1048576](https://tex.z-dn.net/?f=a_%7B20%7D%3D1048576)
Step-by-step explanation:
<u>Geometric Series</u>
The sum of the first n terms of a geometric series whose first term is a1 and a common ratio r is
![\displaystyle S_n=a_1\cdot \frac{r^n-1}{r-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20S_n%3Da_1%5Ccdot%20%5Cfrac%7Br%5En-1%7D%7Br-1%7D)
The problem provides the following data
![S_{12}=8190](https://tex.z-dn.net/?f=S_%7B12%7D%3D8190)
![r=2](https://tex.z-dn.net/?f=r%3D2)
![n=12](https://tex.z-dn.net/?f=n%3D12)
Replacing the values in the formula:
![\displaystyle 8190=a_1\cdot \frac{2^{12}-1}{2-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%208190%3Da_1%5Ccdot%20%5Cfrac%7B2%5E%7B12%7D-1%7D%7B2-1%7D)
Operating
![\displaystyle 8190=a_1\cdot 4095](https://tex.z-dn.net/?f=%5Cdisplaystyle%208190%3Da_1%5Ccdot%204095)
Solving for a1
![a_1=8190/4095=2](https://tex.z-dn.net/?f=a_1%3D8190%2F4095%3D2)
![\boxed{a_1=2}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_1%3D2%7D)
The first term is 2
The general term of the series is
![a_n=a_1.r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1.r%5E%7Bn-1%7D)
Compute the 20th term
![a_{20}=2\cdot 2^{20-1}](https://tex.z-dn.net/?f=a_%7B20%7D%3D2%5Ccdot%202%5E%7B20-1%7D)
![\boxed{a_{20}=1048576}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_%7B20%7D%3D1048576%7D)