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4.6.9 Parts a and b

4.6.9 Parts a and b

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.6.9 Parts a and b
Prove, by induction, that for any nEN, a" is divisible by a- 1. 4.6.8. Prove that n3 + n² + n is an integer for any n E N. 4.6.9. Compute the following expressions (obtain a single number). 100 69 (c) II 2k-3 k=1 k=1 200 99 1 (b) (d) II k + 1 +1 k=2 i=10 4.6.10. Which of the following are true for any a1, . . . , an, b1,..., bn E R? Justify you Provide counterexamples for the false statements. br) |3D ak k%3D1 k%3D1 k=1 ©2017 Shay 100 1 (1)-pdf prb 1.pdf
Transcribed Image Text:Prove, by induction, that for any nEN, a" is divisible by a- 1. 4.6.8. Prove that n3 + n² + n is an integer for any n E N. 4.6.9. Compute the following expressions (obtain a single number). 100 69 (c) II 2k-3 k=1 k=1 200 99 1 (b) (d) II k + 1 +1 k=2 i=10 4.6.10. Which of the following are true for any a1, . . . , an, b1,..., bn E R? Justify you Provide counterexamples for the false statements. br) |3D ak k%3D1 k%3D1 k=1 ©2017 Shay 100 1 (1)-pdf prb 1.pdf
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