Find the sum of the sequence.
-$$\sum _ { k = 1 } ^ { 4 } ( - 1 ) ^ { k } ( k + 6 )$$
A) 2
B) 34
C) -34
D) 26

Question

Quizplus · Accepted Answer

The sum of the sequence can be calculated by evaluating each term individually and then adding them together. For $k = 1, 2, 3, 4$, the terms are:- For $k = 1$: $(-1)^1(1 + 6) = -7$- For $k = 2$: $(-1)^2(2 + 6) = 8$- For $k = 3$: $(-1)^3(3 + 6) = -9$- For $k = 4$: $(-1)^4(4 + 6) = 10$Adding these together: $-7 + 8 - 9 + 10 = 2$.

Find the Sum of the Sequence ∑k=14(−1)k(k+6)\sum _ { k = 1 } ^ { 4 } ( - 1 ) ^ { k } ( k + 6 )k=1∑4​(−1)k(k+6)

Find the Sum of the Sequence $\sum _ { k = 1 } ^ { 4 } ( - 1 ) ^ { k } ( k + 6 )$