+3+3²+...+ 3ª = 3+1-1 2 Hint: First write down what P(1) says and then prove it. Then write down what P(k-1) says and prove that using the fact that P(k) is true. P(1) says 1+3- P(k+1) says 1+3+32 +1 +3+1, Write your proof on paper and upload a photo of it Choose File No file chosen

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 46E: Use generalized induction and Exercise 43 to prove that n22n for all integers n5. (In connection...
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Use Mathematical Induction to prove that
3+1
1
2
1+3+3²+ + 3"
***
Hint: First write down what P(1) says and then prove it. Then write down what P(k+1) says and prove that
using the fact that P(k) is true.
P(1) says 1+3
P(k+1) says 1+3+3²+.... +3+1
Write your proof on paper and upload a photo of it
Choose File No file chosen
Transcribed Image Text:Use Mathematical Induction to prove that 3+1 1 2 1+3+3²+ + 3" *** Hint: First write down what P(1) says and then prove it. Then write down what P(k+1) says and prove that using the fact that P(k) is true. P(1) says 1+3 P(k+1) says 1+3+3²+.... +3+1 Write your proof on paper and upload a photo of it Choose File No file chosen
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