Find the sum of the sequence.
-$$\sum _ { k = 3 } ^ { 5 } \left( k ^ { 2 } - 9 \right)$$
A) -15
B) 23
C) 10
D) -3

Question

Quizplus · Accepted Answer

The sum of the sequence is calculated by substituting the values of $k$ from 3 to 5 into the given formula $k^2 - 9$ and adding the results: $$ \begin{align*} &\text{For } k = 3: 3^2 - 9 = 0\ &\text{For } k = 4: 4^2 - 9 = 7\ &\text{For } k = 5: 5^2 - 9 = 16\ &\text{Total sum} = 0 + 7 + 16 = 23 \end{align*} $$

Find the Sum of the Sequence ∑k=35(k2−9)\sum _ { k = 3 } ^ { 5 } \left( k ^ { 2 } - 9 \right)k=3∑5​(k2−9)

Find the Sum of the Sequence $\sum _ { k = 3 } ^ { 5 } \left( k ^ { 2 } - 9 \right)$