Find the Sum, If It Exists $$\sum _ { i = 1 } ^ { \infty } 10 \left( - \frac { 5 } { 2 } \right) ^ { i - 1 }$$

question 3

Multiple Choice

Find the sum, if it exists.
- $$\sum _ { i = 1 } ^ { \infty } 10 \left( - \frac { 5 } { 2 } \right) ^ { i - 1 }$$

• A) \(\frac { 2 } { 7 }\)
• B) \(\frac { 20 } { 7 }\)
• C) \(- \frac { 50 } { 7 }\)
• D) Does not exist

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