ShadowQuake8397 ShadowQuake8397
  • 21-10-2019
  • Mathematics
contestada

The sum of the first nine terms of an arithmetic series is 135, and the first term is 17. Find the ninth term.

Respuesta :

wagonbelleville wagonbelleville
  • 22-10-2019

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

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