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Robin bought a computer for $1,250. It will depreciate, or decrease in value, by 10% each year that she owns it.

 

a.) Is the sequence formed by the value at the beginning of each year arithmetic, geometric, or neither? Explain.

b.) Write an explicit formula to represent the sequence.

c.) Find the value of the computer at the beginning of the 6th year.

 Mar 23, 2016

Best Answer 

 #1
avatar+33616 
+5

At the beginning of the 1st year it is worth  1250

 

At the beginning of the 2nd year it is worth  1250*0.9

 

At the beginning of the 3rd year it is worth  1250*0.9*0.8  → 1250*(0.92)

 

...

 

At the beginning of the n'th year it is worth  1250*(0.9n-1)

 

Try taking it from here.

 Mar 23, 2016
 #1
avatar+33616 
+5
Best Answer

At the beginning of the 1st year it is worth  1250

 

At the beginning of the 2nd year it is worth  1250*0.9

 

At the beginning of the 3rd year it is worth  1250*0.9*0.8  → 1250*(0.92)

 

...

 

At the beginning of the n'th year it is worth  1250*(0.9n-1)

 

Try taking it from here.

Alan Mar 23, 2016
 #6
avatar+33616 
0

There is a typo in my third line above.  It should read

 

At the beginning of the 3rd year it is worth  1250*0.9*0.9  → 1250*(0.92)

Alan  Mar 23, 2016
 #2
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0

Wait so the sequence would be geometric? @ Alan

 Mar 23, 2016
 #4
avatar+33616 
0

Yes, the sequence is geometric.

Alan  Mar 23, 2016
 #3
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0

Yes!. The ratio is a decreasing one NOT increasing.

 Mar 23, 2016

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