Find the value of the speciﬁed ﬁnite sum.
-$$\text { Given } \sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = 5 \text {, find } \sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \frac { \mathrm { a } _ { \mathrm { k } } } { 5 } \text {. }$$
A) -1
B) 1
C) 0
D) 25

Question

Quizplus · Accepted Answer

We know that $\sum_{k=1}^{n}\frac{a_k}{5}=\frac{1}{5}\sum_{k=1}^{n}a_k$.

Since $\sum_{k=1}^{n}a_k=5$, we can substitute and simplify to get $\sum_{k=1}^{n}\frac{a_k}{5}=\frac{1}{5}(5)=1$.

Therefore, the answer is $\boxed{	ext{B)}}$.

Find the Value of the Speciﬁed ﬁNite Sum A) -1 B) 1 C) 0 D) 25

Find the Value of the Speciﬁed ﬁNite Sum A) -1
B) 1
C) 0
D) 25