Express the sum using summation notation.
-$\sum _ { k = 3 } ^ { 5 } \left( k ^ { 2 } - 8 \right)$
A) 15
B) 0
C) 26
D) $- 12$

Question

Quizplus · Accepted Answer

The sum can be calculated by plugging in the values of $k$ from 3 to 5 into the expression $k^2 - 8$ and adding them together. For $k=3$, the term is $3^2 - 8 = 9 - 8 = 1$. For $k=4$, the term is $4^2 - 8 = 16 - 8 = 8$. For $k=5$, the term is $5^2 - 8 = 25 - 8 = 17$. Adding these terms together gives $1 + 8 + 17 = 26$.

Express the Sum Using Summation Notation ∑k=35(k2−8)\sum _ { k = 3 } ^ { 5 } \left( k ^ { 2 } - 8 \right)∑k=35​(k2−8)

Express the Sum Using Summation Notation $\sum _ { k = 3 } ^ { 5 } \left( k ^ { 2 } - 8 \right)$