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8. Let n be a positive integer. Let 7 = e(27TT/n). Prove that 1+3+3² + · . . + ?"-1 – 0. Hint: show that the sum equals itself times 7.

8. Let n be a positive integer. Let 7 = e(27TT/n). Prove that 1+3+3² + · . . + ?"-1 – 0. Hint: show that the sum equals itself times 7.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 15E
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8. Let n be a positive integer. Let 7 = e(27TT/n). Prove that 1+3+3² + · . . + ?"-1 – 0. Hint: show that the sum equals itself times 7.
Transcribed Image Text:8. Let n be a positive integer. Let 7 = e(27TT/n). Prove that 1+3+3² + · . . + ?"-1 – 0. Hint: show that the sum equals itself times 7.
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