turkey-yks 2011 Q34

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

The sequence $(a _ { k })$ is defined as
$$\begin{aligned} & a _ { 1 } = 40 \\ & a _ { k + 1 } = a _ { k } - k \quad ( k = 1,2,3 , \ldots ) \end{aligned}$$
Accordingly, what is the term $\mathrm { a } _ { 8 }$?
A) 4
B) 7
C) 12
D) 15
E) 19

The sequence $(a _ { k })$ is defined as

$$\begin{aligned}
& a _ { 1 } = 40 \\
& a _ { k + 1 } = a _ { k } - k \quad ( k = 1,2,3 , \ldots )
\end{aligned}$$

Accordingly, what is the term $\mathrm { a } _ { 8 }$?\\
A) 4\\
B) 7\\
C) 12\\
D) 15\\
E) 19

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