Evaluate the sum. Round to two decimal places, if necessary.
-$$\sum _ { \mathrm { k } = 1 } ^ { 4 } ( - 1 ) ^ { \mathrm { k } } ( \mathrm { k } + 4 )$$
A) -26
B) 2
C) 26
D) 18

Question

Quizplus · Accepted Answer

The sum can be calculated by substituting the values of k from 1 to 4 into the given expression: $$(-1)^1(1+4) + (-1)^2(2+4) + (-1)^3(3+4) + (-1)^4(4+4)$$ This simplifies to $$-5 + 6 - 7 + 8$$, which equals 2.

Evaluate the Sum ∑k=14(−1)k(k+4)\sum _ { \mathrm { k } = 1 } ^ { 4 } ( - 1 ) ^ { \mathrm { k } } ( \mathrm { k } + 4 )k=1∑4​(−1)k(k+4)

Evaluate the Sum $\sum _ { \mathrm { k } = 1 } ^ { 4 } ( - 1 ) ^ { \mathrm { k } } ( \mathrm { k } + 4 )$