Respuesta :

Answer:

l = 13

Step-by-step explanation:

given,

Sum of first 9 term = 135

first term (a) = 17

n = 9

l = a + (n -1)d

l = 17 + (9-1)d

l = 17 + 8 d

[tex]S_n = \dfrac{n}{2}(a+l)[/tex]

[tex]135 = \dfrac{9}{2}(17+17 + 8 d)[/tex]

[tex]135 = {9}\times (17+ 4 d)[/tex]

15 = 17 + 4 d

d = -0.5

now 9 th term

l = 17 + 8 d

l = 17 + 8 × (-0.5)

l = 13