Find the Sum $$\sum _ { k = 1 } ^ { n } 5 \cdot 7 ^ { k - 1 }$$

Find the sum.
- $$\sum _ { k = 1 } ^ { n } 5 \cdot 7 ^ { k - 1 }$$

A) $- \frac { 5 } { 6 } \left( 1 - 7 ^ { n - 1 } \right)$
B) $- 5 \left( 1 - 7 ^ { n } \right)$
C) $= \frac { 5 } { 6 } \left( 1 - 7 ^ { n } \right)$
D) $= 30 \left( 1 - 7 ^ { n } \right)$

Correct Answer:

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