Unusual quadratic property We were learning about functions in

Ekwadorkadba3

Ekwadorkadba3

Answered question

2022-04-11

Unusual quadratic property
We were learning about functions in our class, and there came a question: If f(x+2)5f(x+1)+6f(x)=0
f(0)=2 and f(1)=5, what is f(x)?

Answer & Explanation

rhyclelal80j6

rhyclelal80j6

Beginner2022-04-12Added 13 answers

A standard solution for a homogenous linear recurrence relation with constant coefficients such as fn+bfn1+cfn2=0 is to find the roots of its characteristic equation r2+br+c=0. If they are distinct, say r1 and r2, then each solution to the relation takes the form fn=Ar1n+Br2n.

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