+ + 1.3 3.5 5.7 + .. + ……. (2n-1)(2n+1)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 35E: Find three positive geometric means between 2 and 8
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Question

use induction to prove the following for all natural numbers n:

 

1.3
+
1
+
3.5
5.7
+
+
(2n-1)(2n+1)
n
2n+1
(for all n ≥ 1)
Transcribed Image Text:1.3 + 1 + 3.5 5.7 + + (2n-1)(2n+1) n 2n+1 (for all n ≥ 1)
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