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Unformatted text preview: S n = a 1 1r n 1r if r 6 = 1. 4 Geometric series A geometric series is a series of the form: a 1 + a 1 r + a 1 r 2 + ... = ∞ X k =0 a 1 r k = a 1 ∞ X k =0 r k In other words, the geometric series is a sum of an inﬁnite number of terms of a geometric sequence. If  r  < 1, then S ∞ = a 1 + a 1 r + a 1 r 2 + ... = a 1 1 1r . Example 4 : Example 5 : 2 5 Write Repeating Decimal as a Fraction So, a 1 = 89 100 , r = 1 100 , S ∞ = 89 99 . Example 6 : Example 7 : 3...
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This note was uploaded on 05/23/2011 for the course MAC 1147 taught by Professor Nuegyen during the Spring '11 term at FSU.
 Spring '11
 Nuegyen

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