Express the Sum Using Summation Notation $$1 ^ { 5 } + 2 ^ { 5 } + 3 ^ { 5 } + \ldots + 7 ^ { 5 }$$

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation.
- $$1 ^ { 5 } + 2 ^ { 5 } + 3 ^ { 5 } + \ldots + 7 ^ { 5 }$$

A) $\sum _ { k = 0 } ^ { 7 } k ^ { 5 }$
B) $\sum _ { k = 1 } ^ { 7 } k ^ { 5 }$
C) $\sum _ { k = 2 } ^ { 7 } ( k - 1 ) ^ { 5 }$
D) $\sum _ { \mathrm { k } = 1 } ^ { \mathrm { i } } \mathrm { k } ^ { 5 }$