(A) Given the recurrence relation $f(x)=f(x-2)+f(x-3)$ with initial values $f(0)=0, f(1)=1, f(2)=2$.We calculate the subsequent values step by step:$f

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(A) Given the recurrence relation $f(x)=f(x-2)+f(x-3)$ with initial values $f(0)=0, f(1)=1, f(2)=2$.We calculate the subsequent values step by step:$f(3)=f(1)+f(0)=1+0=1$$f(4)=f(2)+f(1)=2+1=3$$f(5)=f(3)+f(2)=1+2=3$$f(6)=f(4)+f(3)=3+1=4$$f(7)=f(5)+f(4)=3+3=6$$f(8)=f(6)+f(5)=4+3=7$$f(9)=f(7)+f(6)=6+4=10$$f(10)=f(8)+f(7)=7+6=13$

Class 11 Mathematics Sequences and Series nth term of special series, Sum to n terms and Infinite number of terms

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If $f(0)=0, f(1)=1, f(2)=2$ and $f(x)=f(x-2)+f(x-3)$ for $x=3, 4, 5, \ldots$,then $f(10)=$

AP EAMCET 2023 All AP EAMCET

A
$13$
B
$9$
C
$11$
D
$10$

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Sequences and Series

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nth term of special series, Sum to n terms and Infinite number of terms

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If $f(0)=0, f(1)=1, f(2)=2$ and $f(x)=f(x-2)+f(x-3)$ for $x=3, 4, 5, \ldots$,then $f(10)=$

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