E-TG03 · A total identifies the angle and the parameter
The positive numbers \(1\), \(\sin x\), \(k\) form a GP, where \(\displaystyle 0< x< \frac{\pi }{2}\).
Express k in terms of x and give its possible range.
The GP continues with sum to infinity 5. Find x and k exactly.
Find the least n for which the sum of the first n terms differs from 5 by less than \(\displaystyle \frac{1}{10}\).
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