A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fi
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Answer:
The fifth term is -1/4.
Step-by-step explanation:
We know that the first three terms of the geometric sequence is <em>x, x</em> + 2, and <em>x </em>+ 3.
So, our first term is <em>x</em>.
Then our second term will be our first term multiplied by the common ratio <em>r</em>. So:
And our third term will be our first term multiplied by the common ratio <em>r</em> twice. Therefore:
Solve for <em>x</em>. From the second term, we can divide both sides by <em>x: </em>
Substitute this into the third equation:
Square:
Simplify:
We can multiply both sides by <em>x: </em>
Expand:
Isolate the <em>x: </em>
Hence, our first term is:
Then our common ratio <em>r</em> is:
So, our first term is -4 and our common ratio is 1/2.
Then our sequence will be -4, -2, -1, -1/2, -1/4.
You can verify that the first three terms indeed follow the pattern of <em>x</em>, <em>x</em> + 2, and <em>x</em> + 3.
So, our fifth term is -1/4.
Answer:
Her speed is of 2 miles per hour.
Step-by-step explanation:
Velocity:
The velocity is given by the following formula:
In which v is the velocity, d is the distance and t is the time.
2/3 mile in 1/3 hour .
This means that
Which unit rate describes antoinettes speed in miles per hour?
This is v. So
Her speed is of 2 miles per hour.