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Determine if the geometric series converges or diverges. If a series con- verges, find its sum. () 3 (i) 1+ + + +... (ii) 1+ (-3) + (-3)² + (-3)³ + (-3)ª + · · (u) ()' - (-÷)' - (-÷)' - ()'- (:)' - (:)' 3 + 3 3 3 4 (iv) 1 e +.. e 9. (v) 27 81 243 729 8 16 32 64

Determine if the geometric series converges or diverges. If a series con- verges, find its sum. () 3 (i) 1+ + + +... (ii) 1+ (-3) + (-3)² + (-3)³ + (-3)ª + · · (u) ()' - (-÷)' - (-÷)' - ()'- (:)' - (:)' 3 + 3 3 3 4 (iv) 1 e +.. e 9. (v) 27 81 243 729 8 16 32 64

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Determine if the geometric series converges or diverges. If a series con- verges, find its sum. () 3 (i) 1+ + + +... (ii) 1+ (-3) + (-3)² + (-3)³ + (-3)ª + · · (u) ()' - (-÷)' - (-÷)' - ()'- (:)' - (:)' 3 + 3 3 3 4 (iv) 1 e +.. e 9. (v) 27 81 243 729 8 16 32 64
Transcribed Image Text:Determine if the geometric series converges or diverges. If a series con- verges, find its sum. () 3 (i) 1+ + + +... (ii) 1+ (-3) + (-3)² + (-3)³ + (-3)ª + · · (u) ()' - (-÷)' - (-÷)' - ()'- (:)' - (:)' 3 + 3 3 3 4 (iv) 1 e +.. e 9. (v) 27 81 243 729 8 16 32 64
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