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Alchen [17]
3 years ago
5

(Answered myself, I did this for others gain since it wasn't on this site)

Mathematics
2 answers:
andrezito [222]3 years ago
5 0

Answer

Given series,

12 + 18 + 24 + 30 + . . . + 198

first term of series, a = 12

common difference,d = 18- 12 = 6

Last term of the series, a_n or l = 198.

a) The expression of arithmetic sequence given by the explicit rule is

    a_n = a + (n-1)d

    a_n = 12 + (n-1)6

b) number of terms in the series

    198 = 12 + (n-1)6

   n-1 = 31

   n = 32

c) value of the series

   S_n = \dfrac{n}{2}(a+l)

   S_n = \dfrac{32}{2}(12+198)

  S_n = 3360

gulaghasi [49]3 years ago
5 0

Answer:

1.)  an= 12 + (n-1) 6

2.) n = 32

3.) C. 3,360

Step-by-step explanation:

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