Find the value of the speciﬁed ﬁnite sum.
-$$\text { Given } \sum _ { k = 1 } ^ { n } a _ { k } = - 4 \text { and } \sum _ { k = 1 } ^ { n } b _ { k } = 8 \text {, find } \sum _ { k = 1 } ^ { n } \left( a _ { k } + b _ { k } \right) \text {. }$$
A) 32
B) 4
C) -4
D) -32

Question

Quizplus · Accepted Answer

Using the distributive property of summation, we have: 
$$\sum_{k=1}^n (a_k+b_k) = \sum_{k=1}^n a_k + \sum_{k=1}^n b_k = (-4) + 8 = 4$$
Therefore, the correct answer is B) 4.

Find the Value of the Speciﬁed ﬁNite Sum A) 32 B) 4 C) -4 D) -32

Find the Value of the Speciﬁed ﬁNite Sum A) 32
B) 4
C) -4
D) -32