Characteristic equation and characteristic roots of recurrence relations

Shows how to find the characteristic equation and roots of first- and second-order homogeneous linear recurrence relations.

[DTX_]

This video was super helpful, thanks. :)

[jakeaustria]

0:49 is misleading because you will have a constant in front of r^n because of initial conditions.

[michaelwang]

But what does the characteristic roots signify?

[shafikbarah]

Thank you
How can we do
A n = 2A n-¹ _ A n-²
When A¹ = 0 and A² = 62

[mskiptr]

But 2^n actually *is* a solution to this equation...

[sharpnova]

it's mind blowing to me that you never actually point out what to do with those roots. how to set up your formula when you have the multiple roots.

that has got to be one of the biggest brain farts in the history of youtube math videos.