gaokao 2024 Q8

gaokao · China · national-I_github 5 marks Proof by induction Prove a summation inequality by induction

Given that the domain of function $f ( x )$ is $\mathbb { R }$ , $f ( x ) > f ( x - 1 ) + f ( x - 2 )$ , and when $x < 3$ , $f ( x ) = x$ , then the following conclusion that must be correct is
A. $f ( 10 ) > 100$
B. $f ( 20 ) > 1000$
C. $f ( 10 ) < 1000$
D. $f ( 20 ) < 10000$

Given that the domain of function $f ( x )$ is $\mathbb { R }$ , $f ( x ) > f ( x - 1 ) + f ( x - 2 )$ , and when $x < 3$ , $f ( x ) = x$ , then the following conclusion that must be correct is\\
A. $f ( 10 ) > 100$\\
B. $f ( 20 ) > 1000$\\
C. $f ( 10 ) < 1000$\\
D. $f ( 20 ) < 10000$

Paper Questions

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