Determine the Sum of the Geometric Series $\frac { 2 ^ { 2 } } { 5 ^ { 2 } }$

question 58

Multiple Choice

Determine the sum of the geometric series $\frac { 2 ^ { 2 } } { 5 ^ { 2 } }$ - $\frac { 2 ^ { 3 } } { 5 ^ { 3 } }$ + $\frac { 2 ^ { 4 } } { 5 ^ { 4 } }$ - ..., if it is convergent.

• A) \(\frac { 5 } { 7 }\)
• B) \(\frac { 7 } { 5 }\)
• C) \(\frac { 3 } { 5 }\)
• D) \(\frac { 4 } { 35 }\)
• E) none of these

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