Let's to the Functions
Number Theory
Level
2
Evaluate f(5) if f(n+2)=2f(n)-f(n+1) where f(0)=2 & f(1)=3.
The answer is 13.
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1 solution
f(n+2)=2f(n)-f(n+1) where f(0)=2 f(1)=3
for n=0 f(2)=2(2)-(3) f(2)=1
for n=1 f(3)=2(3)-(1) f(3)=5
for n=2 f(4)=2(1)-(5) f(4)=-3
for n=3 f(5)=2(5)-(-3) f(5)=13