Find the Sum of the Series $\sum _ { n = 0 } ^ { \infty } 3 \left[ \left( \frac { 1 } { 2 } \right) ^ { n } + \left( - \frac { 1 } { 2 } \right) ^ { n } \right]$

question 230

Multiple Choice

Find the sum of the series $\sum _ { n = 0 } ^ { \infty } 3 \left[ \left( \frac { 1 } { 2 } \right) ^ { n } + \left( - \frac { 1 } { 2 } \right) ^ { n } \right]$ .

• A) \(\frac { 4 } { 3 }\)
• B) \(\frac { 5 } { 3 }\)
• C)8
• D)3
• E)4
• F)5
• G)6
• H)Divergent

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