Sequence and Series - Problems involving inequalities
Sequence and Series - Problems involving inequalities
The sum to infinity of a certain geometric progression is 12, and the sum of the first three terms is \(\dfrac{76}{9}\).
- Find the common ratio of the progression.
- Find the least value of \(n\) for which the sum of the first \(n\) terms is more than 99% of the sum to infinity.
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Answer:(a) \(r = \frac{2}{3}\) (b) \(n = 12\)
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