- #1

StellaLuna

- 7

- 0

F^2_n + F^2_(n+1) = F_(2n+1) for ngreater than or equal to 1?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter StellaLuna
- Start date

- #1

StellaLuna

- 7

- 0

F^2_n + F^2_(n+1) = F_(2n+1) for ngreater than or equal to 1?

- #2

kate1729

- 10

- 0

You first consider a base case, in this case it would be n = 1. Check to see that for this the formula works.

Then comes the inductive step. Assume that this formula works for n =k, and then prove that it works for n = k+1.

Then you're done. The reason this proof works is that truth for n=1 implies truth for n=2, and then n=3, and so on infinitely, so the formula would work for all n.

Share:

- Last Post

- Replies
- 2

- Views
- 534

- Last Post

- Replies
- 0

- Views
- 724

- Replies
- 126

- Views
- 4K

- Replies
- 4

- Views
- 146

- Last Post

- Replies
- 8

- Views
- 2K

- Last Post

- Replies
- 9

- Views
- 923

- Replies
- 15

- Views
- 440

- Replies
- 5

- Views
- 221

- Replies
- 1

- Views
- 466

- Last Post

- Replies
- 14

- Views
- 427