Respuesta :

Common difference (d) = - 14-(-17)

d = -14+17
d = 3...

Tn = -17+(n-1)3

Tn = - 17+3(n-1)

Option a is correct.....

Answer: [tex]a_n=-17+3(n-1)[/tex]

Step-by-step explanation:

Given : Arithmetic sequence : -17, -14, -11, -8, ...

Here the first term , [tex]a_1=-17[/tex]

Common difference : [tex]d=-14-(-17)=3[/tex]

The formula to find the nth term is given by :-

[tex]a_n=a_1+d(n-1)[/tex]

i.e.  [tex]a_n=-17+3(n-1)[/tex]

Hence, the equation for the nth term of the arithmetic sequence :-

[tex]a_n=-17+3(n-1)[/tex]

Q&A Education