| 11. | With his method, he was able to reduce this evaluation to the sum of geometric series.
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| 12. | In mathematics, the infinite series is an elementary example of a geometric series that converges absolutely.
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| 13. | Both of these sums can be derived by using the formula for the sum of a geometric series.
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| 14. | They vary and often deviate significantly from any geometric series in order to accommodate traditional sizes when feasible.
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| 15. | The first equality is given by the formula for a geometric series in each term of the product.
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| 16. | In modern mathematics, that formula is a special case of the sum formula for a geometric series.
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| 17. | Converges for all | z | ( for instance, by the comparison test with the geometric series ).
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| 18. | Moreover, one of Ahmes'methods of solution for the sum suggests an understanding of finite geometric series.
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| 19. | A similar phenomenon occurs with the divergent geometric series proofs demand careful thinking about the interpretation of endless sums.
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| 20. | The geometric series and continued fraction articles are a bit complicated, yes, but certainly not needed here.
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