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( Σα - xi-1) = x = x for n > 2. i=2 11 IDDLE: following "proof" th

( Σα - xi-1) = x = x for n > 2. i=2 11 IDDLE: following "proof" th

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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every integer n Σ 2. 10. Suppose c, x1, X2, ... , Xn, J1, y2, . . . , Jn are 2n+1 given numbers. Prove each of the following assertions by math- ematical induction. n (a) [BB] Σ(x + yı) = Σxi + Σy for n ≥ 1, - i=l i=1 i=1 (0) Σαγ CX; = c Σx for n ≥ 1. i=l i=1 ( Σα - x-1) = x – x for n > 2. - = (c) (Xi i=2 11 iDDi r the following "proof" that in an
Transcribed Image Text:every integer n Σ 2. 10. Suppose c, x1, X2, ... , Xn, J1, y2, . . . , Jn are 2n+1 given numbers. Prove each of the following assertions by math- ematical induction. n (a) [BB] Σ(x + yı) = Σxi + Σy for n ≥ 1, - i=l i=1 i=1 (0) Σαγ CX; = c Σx for n ≥ 1. i=l i=1 ( Σα - x-1) = x – x for n > 2. - = (c) (Xi i=2 11 iDDi r the following "proof" that in an
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