Proofs pt.2

Question 1

What is the basic principle of mathmatical induction?

Answer 1

If the pattern holds true for one row/term then it must hold for the next row/term. And this means that it will hold for all rows/terms

Question 2

Just turn the page lil bro

Answer 2

Question 3

What are the two steps in in mathmatical induction?

Answer 3

Basis step and inductive step

Question 5

What is a closed form?

Answer 5

A form where a sum of variable terms equals an expression that does not contain an elipsis or a summation symbol

Question 6

What formula would you use to calculate the sum from 1 to n (n is an integer)

Answer 6

(n(n+1))/2

It comes from the fact that the above is true

Question 7

Answer 7

Question 8

True or false?

fix this

Answer 8

False. Note a false hypothesis (first line) can create a true conclusion (last line)

Question 9

Answer 9