Exercise 3: Prove the following statements. I suggest induction. (a) For all integers n > 0, 12 + 22 +...+n-n(n+1) (2n + 1) 6 (b) For all n > 0, (1+2+.+ n)2 = 13 + 23 + .+n3. (c) For n 2, n < (2 -n1)".

Exercise 3: Prove the following statements. I suggest induction. (a) For all integers n > 0, 12 + 22 +...+n-n(n+1) (2n + 1) 6 (b) For all n > 0, (1+2+.+ n)2 = 13 + 23 + .+n3. (c) For n 2, n < (2 -n1)".

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Description: Exercise 5 questions B and/or C Exercise 3: Prove the following statements. I suggest induction.(a) For all integers n > 0, 12 + 22 +...+n-n(n+1) (2n + 1)6(b) For all n > 0, (1+2+.+ n)2 = 13 + 23 + .+n3.(c) For n2, n < (2 -n1)".

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 51RE

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Exercise 5 questions B and/or C

Exercise 3: Prove the following statements. I suggest induction.
(a) For all integers n > 0, 12 + 22 +...+n-n(n+1) (2n + 1)
6
(b) For all n > 0, (1+2+.+ n)2 = 13 + 23 + .+n3.
(c) For n
2, n < (2 -n1)".

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