Find the value of the speciﬁed ﬁnite sum.
-Given $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = - 6$, find $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } 5 \mathrm { a } _ { \mathrm { k } }$.
A) 30
B) $- 30$
C) $- 1$
D) 1

Question

Quizplus · Accepted Answer

The sum of $5a_k$ from $k=1$ to $n$ is equivalent to multiplying the original sum by 5, thus $5 \times (-6) = -30$.

Find the Value of the Speciﬁed ﬁNite Sum ∑k=1nak=−6\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = - 6∑k=1n​ak​=−6

Find the Value of the Speciﬁed ﬁNite Sum $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = - 6$