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

Question

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

Quizplus · Accepted Answer

The Answer of 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

Find the Sum of the Series ∑n=0∞3[(12)n+(−12)n]\sum _ { n = 0 } ^ { \infty } 3 \left[ \left( \frac { 1 } { 2 } \right) ^ { n } + \left( - \frac { 1 } { 2 } \right) ^ { n } \right]∑n=0∞​3[(21​)n+(−21​)n]

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