Question

plz help asap
What is the value of the 30th term in the following arithmetic sequence?

12, 6, 0, -6, ...

A. -186
B. 342
C. 186
D. -162

Answer 1

$\sf\underline{Answer:}$

Option D is your answer

$\sf\underline{Explanation:}$

First term of AP (a) = 12

common difference (d) = 6 - 12 = -6

$a_{n} = a + (n - 1)d$

$a_{30} = 12 + (30 - 1)( - 6)$

$a_{30} = 12 - 174$

$\boxed{a_{30} = - 162}$

Have a good evening!