The first four terms of the sequence are 3 , 6 , 12 , 24
Step-by-step explanation:
We need to find the first four terms of the sequence ![a_{n}=2a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%3D2a_%7Bn-1%7D)
where
to find them do that
- Substitute n by 2 in the rule to find
![a_{2}](https://tex.z-dn.net/?f=a_%7B2%7D)
- Substitute n by 3 in the rule to find
![a_{3}](https://tex.z-dn.net/?f=a_%7B3%7D)
- Substitute n by 4 in the rule to find
![a_{4}](https://tex.z-dn.net/?f=a_%7B4%7D)
∵ ![a_{n}=2a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%3D2a_%7Bn-1%7D)
- Substitute n by 2 to find the 2nd term
∴ ![a_{2}=2a_{2-1}](https://tex.z-dn.net/?f=a_%7B2%7D%3D2a_%7B2-1%7D)
∴ ![a_{2}=2a_{1}](https://tex.z-dn.net/?f=a_%7B2%7D%3D2a_%7B1%7D)
∵ ![a_{1}=3](https://tex.z-dn.net/?f=a_%7B1%7D%3D3)
∴ ![a_{2}=2(3)](https://tex.z-dn.net/?f=a_%7B2%7D%3D2%283%29)
∴ ![a_{2}=6](https://tex.z-dn.net/?f=a_%7B2%7D%3D6)
- Substitute n by 3 to find the 3rd term
∴ ![a_{3}=2a_{3-1}](https://tex.z-dn.net/?f=a_%7B3%7D%3D2a_%7B3-1%7D)
∴ ![a_{3}=2a_{2}](https://tex.z-dn.net/?f=a_%7B3%7D%3D2a_%7B2%7D)
∵ ![a_{2}=6](https://tex.z-dn.net/?f=a_%7B2%7D%3D6)
∴ ![a_{3}=2(6)](https://tex.z-dn.net/?f=a_%7B3%7D%3D2%286%29)
∴ ![a_{3}=12](https://tex.z-dn.net/?f=a_%7B3%7D%3D12)
- Substitute n by 4 to find the 4th term
∴ ![a_{4}=2a_{4-1}](https://tex.z-dn.net/?f=a_%7B4%7D%3D2a_%7B4-1%7D)
∴ ![a_{4}=2a_{3}](https://tex.z-dn.net/?f=a_%7B4%7D%3D2a_%7B3%7D)
∵ ![a_{3}=12](https://tex.z-dn.net/?f=a_%7B3%7D%3D12)
∴ ![a_{4}=2(12)](https://tex.z-dn.net/?f=a_%7B4%7D%3D2%2812%29)
∴ ![a_{4}=24](https://tex.z-dn.net/?f=a_%7B4%7D%3D24)
The first four terms of the sequence are 3 , 6 , 12 , 24
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
#LearnwithBrainly
Answer:
your median is 17.445
Step-by-step explanation:
put them in order least to greatest
13.64,15.25,19.64,22.25
15.25+19.64=34.89
34.89/2=17.445
Answer:
50.7202
Step-by-step explanation:
(500ml+1000ml) / (29.574 ml per ounce) = 50.72 US Fluid Ounces
Answer:
D) 5 4/9
Step-by-step explanation:
![\frac{19}{9}+(\frac{-2}{9})+\frac{32}{9}\\\frac{19-2}{9}+\frac{32}{9}\\\frac{17+32}{9}=\frac{49}{9}=5\frac{4}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B9%7D%2B%28%5Cfrac%7B-2%7D%7B9%7D%29%2B%5Cfrac%7B32%7D%7B9%7D%5C%5C%5Cfrac%7B19-2%7D%7B9%7D%2B%5Cfrac%7B32%7D%7B9%7D%5C%5C%5Cfrac%7B17%2B32%7D%7B9%7D%3D%5Cfrac%7B49%7D%7B9%7D%3D5%5Cfrac%7B4%7D%7B9%7D)