Svetlana N.

asked • 11/30/22

In the year 2008 Apple sold 11 million iPhones. Over the next few years, annual sales increased by an average of 55%

In the year 2008 Apple sold 11 million iPhones. Over the next few years, annual sales increased by an average of 55%, which we will model using a geometric sequence with r = 1.55


Use the geometric summation formula Sn = a1 (1-r^n) / 1 - r, to estimate the total number of iPhones sold in the eight years spanning 2008 and 2015. Give your answer in millions of phones, rounded to one decimal place.


___________ million phones


Peter R.

tutor
Not clear from the wording if the 55% represents total growth over 7 years or in each year. 55%/year sounds excessive, even for Apple, but 6.46% average might be low. I guess the latter rate as used by Joshua is more likely. Also, 2008 to 2015 is 7 years of increase, not 8 as shown in the question.
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11/30/22

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