Express the sum using summation notation.
-$\sum _ { \mathrm { k } = 1 } ^ { 4 } ( - 1 ) ^ { \mathrm { k } } ( \mathrm { k } + 16 )$
A) 74
B) $- 74$
C) 66
D) 2

Question

Quizplus · Accepted Answer

The given expression is a summation from k=1 to 4 of $(-1)^k(k+16)$. To find the sum, we calculate each term individually and then add them together:- For k=1: $(-1)^1(1+16) = -17$- For k=2: $(-1)^2(2+16) = 18$- For k=3: $(-1)^3(3+16) = -19$- For k=4: $(-1)^4(4+16) = 20$Adding these together: $-17 + 18 - 19 + 20 = 2$.

Express the Sum Using Summation Notation ∑k=14(−1)k(k+16)\sum _ { \mathrm { k } = 1 } ^ { 4 } ( - 1 ) ^ { \mathrm { k } } ( \mathrm { k } + 16 )∑k=14​(−1)k(k+16)

Express the Sum Using Summation Notation $\sum _ { \mathrm { k } = 1 } ^ { 4 } ( - 1 ) ^ { \mathrm { k } } ( \mathrm { k } + 16 )$