To calculate : The correct option for total number of cassettes that will ship in
Option (A):
Option (B):
Option (C):
Option (D):
Option (D) is the correct option for total number of cassettes that will ship in
Given information :
The number of cassettes shipped in
Formula used : The sum of infinite geometric series with first term
Here,
Calculation :
It can be observed that company’s profit has decreased by
In the first year, the number of cassettes shipped in
So,
On the second year, profit has decreased by
So,
Similarly,
It can be seen that; the sequence forms a geometric sequence with value of
Observe all the terms as follows.
The general rule for the given geometric sequence is formed as
For the given series the value of
The sum of series can only exist if the common ratio is
Then the sum of infinite geometric series is calculated using the formula
Thus, total number of cassettes that will ship in
So, the correct option is (D).
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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