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

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)
$\sum _ { k = 2 } ^ { n } k ^ { 3 }$

Quizplus · Accepted Answer

The correct summation notation starts with $2^3$ and ends with $8^3$, which matches option C: $\sum _ { k = 2 } ^ { 8 } k ^ { 3 }$. This directly translates the given series into summation form, starting at $k=2$ and ending at $k=8$, with each term being raised to the power of 3.

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 $2 ^ { 3 } + 3 ^ { 3 } + 4 ^ { 3 } + \cdots + 8 ^ { 3 }$