A digital video recorder (DVR) records television shows on an internal hard drive. To use a DVR, you need a subscription with a
DVR service company. Two companies advertise their charges for a DVR machine and subscription service.
For what number of months will consumer pay less for the machine and subscription at easy electronics than at cable solutions
The consumer will pay less for the machine and a subscription at easy electronics then I have cable solutions if the customer uses .......... months or more
Will give brainliest
For what number of months will consumer pay less for the machine and subscription at easy electronics than at cable solutions
The consumer will pay less for the machine and a subscription at easy electronics then I have cable solutions if the customer uses .......... months or more
Will give brainliest
1 answer:
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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.