Problems Plus Example 4 - Mathematical Induction
In this video I go through another problems plus example which in this case is on Mathematical Induction. I also go over mathematical induction is and use the tough problems plus example to illustrate it further. The principle of mathematical induction is pretty straight forward but the wording of it can be a bit tricky. Basically it states that if your function is true for n = 1, and it's true for k+1 if at k is true then it is true for all positive integers n. Since n = 1 is true, it follows that n = 2 is true and thus n = 3 and so on forever.
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Problems Plus – Example 4 – Mathematical Induction
Principle of Mathematical Induction
Let Sn be a statement about the positive integer n.
Suppose that:
- S1 is true.
- Sk+1 is true whenever Sk is true.
Thus Sn is true for all positive integers n.
https://twitter.com/MathEasySolns/status/1380992072052662273