Find the value of the speciﬁed ﬁnite sum.
-Given $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = - 3$ and $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { b } _ { \mathrm { k } } = 6$, find $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \left( \mathrm { a } _ { \mathrm { k } } - \mathrm { b } _ { \mathrm { k } } \right)$.
A) 18
B) $- 11$
C) $- 9$
D) 9

Question

Quizplus · Accepted Answer

The sum of $a_k - b_k$ over the range from 1 to $n$ can be found by subtracting the sum of $b_k$ from the sum of $a_k$. Given $\sum a_k = -3$ and $\sum b_k = 6$, the result is $-3 - 6 = -9$.

Find the Value of the Speciﬁed ﬁNite Sum ∑k=1nak=−3\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = - 3∑k=1n​ak​=−3

Find the Value of the Speciﬁed ﬁNite Sum $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = - 3$