TS EAMCET · Maths · Functions
If \(\quad f(0)=0, f(1)=1, f(2)=2 \quad\) and \(f(x)=f(x-2)+f(x-3)\) for \(x=3,4,5, \ldots\), then \(f(9)\) is equal to
- A 12
- B 13
- C 14
- D 10
Answer & Solution
Correct Answer
(D) 10
Step-by-step Solution
Detailed explanation
\(f(0)=0, f(1)=1, f(2)=2\) Given, \(f(x)=f(x-2)+f(x-3), x=3,4,5, \ldots\) The given function is known as "Reccurrence function". put \(x=3, f(3)=f(1)+f(0)\) \(=1+0=1\) put \(x=4, f(4)=f(2)+f(1)\) \(=2+1 \Rightarrow 3\) put \(x=5, f(5)=f(3)+f(2)\) \(=1+2 \Rightarrow 3\) put…
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