To get the first term of the geometric sequence we proceed as follows;
The formula for the arithmetic sequence is:
an=ar^(n-1)
the 5th term is 176, thus;
176=ar^(5-1)
176=ar^4........i
the 7th term is 704, thus;
704=ar^(7-1)
704=ar^6........ii
from i
a=176/r^4
from ii
a=704/r^6
hence;
176/r^4=704/r^6
cross-multiplying the expression we get;
176r^6=--704r^4
dividing both sides by 176r^4 we get:
r^2=4
thus
r=sqrt4
r=2
therefore the first term will be:
a=176/r^4
a=176/2^4
a=11
Step-by-step explanation:
what is this? can you pls explain more
1.425 gallons/bottle.
<h3>
Further explanation</h3>
<u>Given:</u>
- Yasmine bought 6 gallons of apple juice.
- After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.
<u>Question:</u>
What is the amount of apple juice in each container (or bottle)?
<u>The Process:</u>
Let the amount of apple juice in each bottle as X.
The two steps for obtaining X are as follows:
<u>Step-1:</u> the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

<u>Step-2:</u> the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

Let's also consider the following quick steps.
<u>Quick steps:</u>

Therefore, the amount of apple juice in each container (or bottle) is 1.425 gallons.
<h3>
Learn more</h3>
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Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle, subtracted by, divide, container
The quotient of 5 and x is greater than 10
Answer:
y=4/3x-1
Step-by-step explanation: