Write the sum using summation notation, assuming the suggested pattern continues.
-$$- 10 - 6 - 2 + 2 + \ldots + 50$$
A) $\sum _ { n = 0 } ^ { 15 } ( - 10 + 4 n )$
B) $\sum _ { n = 0 } ^ { \infty } - 40 n$
C) $\sum _ { n = 0 } ^ { \infty } ( - 10 + 4 n )$
D) $\sum _ { n = 0 } ^ { 15 } - 40 n$

Question

Quizplus · Accepted Answer

The sequence starts at -10 and increases by 4 each time, so the formula inside the summation is $-10 + 4n$. To find the number of terms, note that the sequence ends at 50, which fits the formula for $n=15$ ($-10 + 4(15) = 50$). Therefore, the correct summation notation is $\sum _ { n = 0 } ^ { 15 } ( - 10 + 4 n )$.

Write the Sum Using Summation Notation, Assuming the Suggested Pattern −10−6−2+2+…+50- 10 - 6 - 2 + 2 + \ldots + 50−10−6−2+2+…+50

Write the Sum Using Summation Notation, Assuming the Suggested Pattern $- 10 - 6 - 2 + 2 + \ldots + 50$