A parameter and an infinite sum
A parameter and an infinite sum
5 marks
TGM Original
A geometric progression begins 12,12(k-1),12(k-1)2,. Find the range of k for which it has a finite sum to infinity. Find the value of k for which this sum is 18.
Solution:
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Answer:\(0<k<2\); for the stated sum, \(k=\dfrac43\).
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