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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 30E
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Q10 c 

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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