Find the value of the speciﬁed ﬁnite sum.
-$$\text { Given } \sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = - 5 \text { and } \sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { b } _ { \mathrm { k } } = 2 \text {, find } \sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \left( \mathrm { a } _ { \mathrm { k } } - \mathrm { b } _ { \mathrm { k } } \right) \text {. }$$
A) -9
B) -7
C) 7
D) 10

Question

Quizplus · Accepted Answer

The sum of $a_k$ from 1 to $n$ is -5, and the sum of $b_k$ from 1 to $n$ is 2. Subtracting the second sum from the first gives $-5 - 2 = -7$, which is the sum of $(a_k - b_k)$ from 1 to $n$.

Find the Value of the Speciﬁed ﬁNite Sum A) -9 B) -7 C) 7 D) 10

Find the Value of the Speciﬁed ﬁNite Sum A) -9
B) -7
C) 7
D) 10