Rectangle ABCD has dimensions 1 by 2. The next rectangle PQRS has dimensions 1/2 by 1. In like manner each rectangle has dimensions half of the size of the preceding rectangle. If this sequence of rectangles continues endlessly, what is the sum of the areas of ail the rectangles?
Joni Kenny
Answered question
2020-12-16
Answer & Explanation
unessodopunsep
Skilled2020-12-17Added 105 answers
where a1=2 (first term) and r=14 (common ratio).
Using the sum of infinite geometric sequence, the sum of the areas is:
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