Express the sum using summation notation.
-$$2 ^ { 3 } + 3 ^ { 3 } + 4 ^ { 3 } + \cdots + 8 ^ { 3 }$$
A)
$\sum _ { k = 1 } ^ { 8 } k ^ { 3 }$
B)
$\sum _ { k = 3 } ^ { 8 } ( k - 1 ) ^ { 3 }$
C)
$\sum _ { k = 2 } ^ { 8 } k ^ { 3 }$
D)
$\sum _ { k = 2 } ^ { n } k ^ { 3 }$

Question

Quizplus · Accepted Answer

The correct expression for the given sum $2^3 + 3^3 + 4^3 + \cdots + 8^3$ is $\sum _ { k = 2 } ^ { 8 } k ^ { 3 }$, as it starts with $2^3$ and ends with $8^3$, incrementing by 1 at each step.

Express the Sum Using Summation Notation 23+33+43+⋯+832 ^ { 3 } + 3 ^ { 3 } + 4 ^ { 3 } + \cdots + 8 ^ { 3 }23+33+43+⋯+83

Express the Sum Using Summation Notation $2 ^ { 3 } + 3 ^ { 3 } + 4 ^ { 3 } + \cdots + 8 ^ { 3 }$