Find the Sum of the Infinite Geometric Series $a + a x ^ { 2 } + a x ^ { 4 } + a x ^ { 6 } + \ldots$

question 9

Multiple Choice

Find the sum of the infinite geometric series. $a + a x ^ { 2 } + a x ^ { 4 } + a x ^ { 6 } + \ldots$

• A) \(S = \frac { x } { 1 - \alpha ^ { 2 } }\)
• B) \(S = \frac { \alpha } { 1 - x ^ { 4 } }\)
• C) \(S = \frac { x ^ { 2 } } { 1 - a ^ { 2 } }\)
• D) \(S = \frac { 1 } { 1 + x ^ { 2 } }\)
• E) \(S = \frac { \alpha } { 1 - x ^ { 2 } }\)

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