Proof By Induction Flashcards

1
Q

What are the steps for a proof by induction

A

When n = 1
Assume true when n=k
When n = k + 1
Then put ur k summation in and add a k + 1 on the end

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2
Q

What are the steps for a proof a thing is divisible by 3

A

F(k+1) - f(k)
Then after simplified add f(k) to both side
§

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3
Q

When proving matrices, how do u get A^k+1

A

A^k x a

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4
Q

N
Summation r
R = a

A

N = number it goes to
R = what it goes up in
A = starting number

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5
Q

What is the summation formula for an arithmetic series

A

N
Summation r = n/2(n+1)
R = 1

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6
Q

N
Summation (ar + b)
R = 1

A

A summation +nb

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7
Q

What u have an r number that doesn’t start at one what do u do

A

Do r = 1 - (the r number -1)
R = 20
R=1 - r=19

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8
Q
A

Do r = 1 - (the r number -1)
R = 20
R=1 - r=19

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