- #1

parshyaa

- 307

- 19

In mathematical induction we prove statements using a proper technique just like in a following example:

##P(n)=n(n+1)## is an even number for every ##n∈N##

We are just assuming something is true and then 'proving' that something else is true based on that assumption. But we never proved the assumption itself is true so it doesn't seem to hold up to me. Oviously proof by induction works so am I viewing the process incorrectly?

##P(n)=n(n+1)## is an even number for every ##n∈N##

- we will check wether ##P(1)## is True/false, its true because ##P(1)=2##
- Now We will
**assume**that ##P(k)## is true and using this we will prove that ##P(k+1)## is also true

We are just assuming something is true and then 'proving' that something else is true based on that assumption. But we never proved the assumption itself is true so it doesn't seem to hold up to me. Oviously proof by induction works so am I viewing the process incorrectly?

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