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

Question

Quizplus · Accepted Answer

We know that

$$\sum_{k=1}^{n} a_k = 5$$

Dividing both sides of the equation by 5, we get

$$\frac{1}{5}\sum_{k=1}^{n} a_k = \frac{5}{5}$$

Simplifying this equation, we get

$$\sum_{k=1}^{n} \frac{a_k}{5} = 1$$

Therefore, the answer is option B: 1.

Find the Value of the Speciﬁed ﬁNite Sum ∑k=1nak=5\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = 5∑k=1n​ak​=5

Find the Value of the Speciﬁed ﬁNite Sum $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \mathrm { a } _ { \mathrm { k } } = 5$