Answer:
5:2
Step-by-step explanation:
Answer:
$0.45
Step-by-step explanation:
ratio is 2:4:3
total is 9
270 ÷ 9 = 30
smoll
60 × 0.25 = $15
med
120 × 0.30 = $36
Big
91.50 - 15 - 36 = 40.5
40.5 ÷ 90 = $0.45
The same with this question you divide 60 by 6 and you get 5
The seventh term of the sequence is 364.5
<h3>Geometric progression </h3>
From the question, we are to determine the seventh term of the sequence
Using the formula,
![a_{n} = ar^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%20%3D%20ar%5E%7Bn-1%7D)
Where
is the nth term
a is the first term
and r is the common ratio
From the given information,
a = 1/2
r = 3
Thus,
![a_{7} = (\frac{1}{2}) 3^{7-1}](https://tex.z-dn.net/?f=a_%7B7%7D%20%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D%29%203%5E%7B7-1%7D)
![a_{7} = (\frac{1}{2}) 3^{6}](https://tex.z-dn.net/?f=a_%7B7%7D%20%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D%29%203%5E%7B6%7D)
![a_{7} = \frac{1}{2} \times 729](https://tex.z-dn.net/?f=a_%7B7%7D%20%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20729)
![a_{7} = 364\frac{1}{2} \ OR \ 364.5](https://tex.z-dn.net/?f=a_%7B7%7D%20%20%3D%20364%5Cfrac%7B1%7D%7B2%7D%20%5C%20OR%20%5C%20364.5)
Hence, the seventh term of the sequence is 364.5
Learn more on Geometric progression here: brainly.com/question/24643676
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