Let S, represent the statement n3 – n is divisible by 3. State a) S1, b) Sk, and c) Sk+1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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Let Sn represent the statement n – n is divisible by 3.
3
State a) S1, b) Sk, and c) Sk+1.
O a) 13 – 1 = 0
b) k³ – k
c) (k + 1) – (k + 1)
-
O a) 13 – 1 = 0
b) Σ (-k)
c) E (k + 1)° – (k +
O a) 3! – 3 = 0
b) 3k – 3
-
c) 3k+1 – 3k
O a) = 1
b) = 3*
%3D
- 3k
c)
3k
3k+1
3
Transcribed Image Text:Let Sn represent the statement n – n is divisible by 3. 3 State a) S1, b) Sk, and c) Sk+1. O a) 13 – 1 = 0 b) k³ – k c) (k + 1) – (k + 1) - O a) 13 – 1 = 0 b) Σ (-k) c) E (k + 1)° – (k + O a) 3! – 3 = 0 b) 3k – 3 - c) 3k+1 – 3k O a) = 1 b) = 3* %3D - 3k c) 3k 3k+1 3
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