tmua 2023 Q4

tmua · Uk · paper1 1 marks Arithmetic Sequences and Series Telescoping or Non-Standard Summation Involving an AP

Evaluate
$$\sum _ { n = 0 } ^ { \infty } \frac { \sin \left( n \pi + \frac { \pi } { 3 } \right) } { 2 ^ { n } }$$

..... 6

Evaluate

$$\sum _ { n = 0 } ^ { \infty } \frac { \sin \left( n \pi + \frac { \pi } { 3 } \right) } { 2 ^ { n } }$$