Find the sum of the sequence.
-$$\sum _ { k = 2 } ^ { 4 } k ( k + 5 )$$
A) 74
B) 80
C) 33
D) 50

Question

Quizplus · Accepted Answer

The sum of the sequence can be calculated by plugging in the values of $k$ from 2 to 4 into the formula $k(k + 5)$ and then adding the results. For $k = 2$, the term is $2(2 + 5) = 14$. For $k = 3$, the term is $3(3 + 5) = 24$. For $k = 4$, the term is $4(4 + 5) = 36$. Adding these terms together gives $14 + 24 + 36 = 74$.

Find the Sum of the Sequence ∑k=24k(k+5)\sum _ { k = 2 } ^ { 4 } k ( k + 5 )k=2∑4​k(k+5)

Find the Sum of the Sequence $\sum _ { k = 2 } ^ { 4 } k ( k + 5 )$