Sequences and Series 4 Question 3
3. The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is . Then, the common ratio of this series is
(2019 Main, 11 Jan I)
(a)
(b)
(c)
(d)
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Solution:
- Let the GP be
; where and .
Then, according the problem, we have