A Geometric Sequence Is Given $$\left\{ 4 \left( \frac { 1 } { 2 } \right) ^ { n - 1 } \right\}$$

question 92

Multiple Choice

A geometric sequence is given. Find the common ratio and write out the first four terms.
- $$\left\{ 4 \left( \frac { 1 } { 2 } \right) ^ { n - 1 } \right\}$$

• A) \(a _ { n } = 4 \cdot ( 2 ) ^ { n - 1 }\)
• \(r = 2 ; 4,8,16,32 , \ldots\)
• B) \(a _ { n } = \frac { 1 } { 2 } ( 4 ) ^ { n - 1 }\)
• \[\mathrm { r } = \frac { 1 } { 2 } ; 4,8,16,32 , \ldots\]
• C) \(\mathrm { a } _ { \mathrm { n } } = 4 \left( \frac { 1 } { 2 } \right) ^ { \mathrm { n } - 1 }\)
• \(\mathrm { r } = \frac { 1 } { 2 } ; 4,2,1 , \frac { 1 } { 2 } , \ldots\)
• D) \(\mathrm { a } _ { \mathrm { n } } = 4 \left( \frac { 1 } { 4 } \right) ^ { \mathrm { n } - 1 }\)
• \(r = \frac { 1 } { 4 } ; 4,1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \ldots\)