Find the indicated partial sum for the sequence with the given general term.
-$s 6 , a _ { n } = - 3 n + 6$
A) 3
B) $- 12$
C) $- 27$
D) 18

Question

Quizplus · Accepted Answer

The partial sum $s_6$ of the sequence can be found by adding the first six terms of the sequence. The general term is given by $a_n = -3n + 6$. To find $s_6$, we calculate each term from $n = 1$ to $n = 6$ and sum them up: $a_1 = -3(1) + 6 = 3$, $a_2 = -3(2) + 6 = 0$, $a_3 = -3(3) + 6 = -3$, $a_4 = -3(4) + 6 = -6$, $a_5 = -3(5) + 6 = -9$, $a_6 = -3(6) + 6 = -12$. Adding these together, $3 + 0 - 3 - 6 - 9 - 12 = -27$.

Find the Indicated Partial Sum for the Sequence with the Given