The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?
1 answer:
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For this case, the first thing we must do is define variables:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
their difference is 1.6:
Solving the system we have:
We add both equations:
Then, we look for the value of y using any of the equations:
Answer:
The numbers are:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
their difference is 1.6:
Solving the system we have:
We add both equations:
Then, we look for the value of y using any of the equations:
Answer:
The numbers are:
Answer:
Grant will make $60 from selling 12 magazines.
Step-by-step explanation:
Let m represent number of magazine sold and A represent amount of money earned.
We have been given that Grant earns $5 for each magazine he sells. So amount earned from m magazines would be 5 times m that is dollars.
Now, we will equate total amount earned by Grant with A as:
Therefore, our required equation would be .
To find the amount earned by Grant by selling 12 magazines, we will substitute in our equation as:
Therefore, Grant will make $60 from selling 12 magazines.