Mathematics: (Answered myself, I did this for others gain since it wasn t on this site)Answer each question about the following arithmetic series:12 + 18 + 24 + 30 + . . . + 1981.) What is the explicit rule for the arithmetic sequence on which the series is based?2.) How many terms are in the series?3.) What is the value of the arithmetic series?ANSWERS:1.) 2.) n = 323.) C. 3,360

the answer is A on edge i took the test .Step-by-step explanation:...

(Answered myself, I did this for others gain since

briizy

26.01.2022

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

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