turkey-yks 2013 Q32

turkey-yks · Other · lys1-math Sequences and series, recurrence and convergence Direct term computation from recurrence

Let $a _ { 1 } , a _ { 2 }$ be real numbers. The sequence $\left( a _ { n } \right)$ satisfies the relation
$$a _ { n + 2 } = a _ { n + 1 } + a _ { n } \quad ( n = 1,2 , \cdots )$$
Given that $a _ { 8 } = 6$, what is the sum $a _ { 6 } + a _ { 9 }$?
A) 9
B) 10
C) 12
D) 15
E) 16

Let $a _ { 1 } , a _ { 2 }$ be real numbers. The sequence $\left( a _ { n } \right)$ satisfies the relation

$$a _ { n + 2 } = a _ { n + 1 } + a _ { n } \quad ( n = 1,2 , \cdots )$$

Given that $a _ { 8 } = 6$, what is the sum $a _ { 6 } + a _ { 9 }$?\\
A) 9\\
B) 10\\
C) 12\\
D) 15\\
E) 16

Paper Questions

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