Respuesta :

ANSWER

[tex] 36 \frac{2}{3} [/tex]

EXPLANATION

The nth term of the sequence is given by;

[tex] \frac{20}{3} + \frac{1}{3} (n + 1)[/tex]

To find the 89th term, we put n=89,

[tex] \frac{20}{3} + \frac{1}{3} (89+ 1)[/tex]

We simplify to obtain,

[tex] \frac{20}{3} + \frac{1}{3} (90)[/tex]

[tex] \frac{20}{3} + 30 = 36 \frac{2}{3} [/tex]