A nonlinear convergence condition

A nonlinear convergence condition

6 marks
TGM Original
A GP has first term 6 and common ratio k2-2. Find the range of real k for convergence and its infinite sum when k=sqrt(32).

Solution:

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Answer:\(-\sqrt3<k<-1\) or \(1<k<\sqrt3\); the specified sum is \(4\).

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