Respuesta :

Answer:

The 17th term number of the arithmetic sequence will be: -97

i.e.

  • [tex]a_{17}=-97[/tex]

Step-by-step explanation:

Given the arithmetic sequence

[tex]a_n=-6n+5[/tex]

Put [tex]n=17[/tex] in the arithemetic sequence to get the 17th term number

[tex]a_{17}=-6\left(17\right)+5[/tex]

[tex]a_{17}=-6\cdot \:17+5[/tex]

[tex]a_{17}=-102+5[/tex]

[tex]a_{17}=-97[/tex]

Therefore, the 17th term number of the arithmetic sequence will be: -97

i.e.

[tex]a_{17}=-97[/tex]