A certain song with 8 verses is played at a different tempo in each verse. The recursion below defines the sequence , the song's tempo (in beats per minute) in the verse.

Question

Which function represents the term of this sequence, for ?

A
.


B.

Answer 1

For the recursion below:
\(T_n = \begin{cases} 70, & \text{if } n = 1 \\ 10 + T_{n-1}, & \text{if } n > 1 \end{cases}\)

The nth term of the sequence can be represented by the function:

\(T_n = 60 + 10(n-1)\)

Therefore, the correct answer is:

B. \(T_n = 60 + 10(n-1)\)