Proof By Induction

Question 1

What are the steps for a proof by induction

Answer 1

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

Question 2

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

Answer 2

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

Question 3

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

Answer 3

A^k x a

Question 4

N
Summation r
R = a

Answer 4

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

Question 5

What is the summation formula for an arithmetic series

Answer 5

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

Question 6

N
Summation (ar + b)
R = 1

Answer 6

A summation +nb

Question 7

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

Answer 7

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

Answer 8

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