Determine If the Geometric Series Converges or Diverges A) Converges $\frac { 5 } { 4 }$

question 214

Multiple Choice

Determine if the geometric series converges or diverges. If it converges, find its sum.
- $$1 + \frac { 1 } { 5 } + \left( \frac { 1 } { 5 } \right) ^ { 2 } + \left( \frac { 1 } { 5 } \right) ^ { 3 } + \left( \frac { 1 } { 5 } \right) ^ { 4 } + \ldots$$

• A) converges, \(\frac { 5 } { 4 }\)
• B) diverges
• C) converges, \(\frac { 7 } { 4 }\)
• D) converges, 2

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