csat-suneung 2021 Q3

csat-suneung · South-Korea · csat__math-humanities 2 marks Geometric Sequences and Series Finite Geometric Sum and Term Relationships
For a geometric sequence $\left\{ a _ { n } \right\}$ with first term $\frac { 1 } { 8 }$, if $\frac { a _ { 3 } } { a _ { 2 } } = 2$, what is the value of $a _ { 5 }$? [2 points]
(1) $\frac { 1 } { 4 }$
(2) $\frac { 1 } { 2 }$
(3) 1
(4) 2
(5) 4
For a geometric sequence $\left\{ a _ { n } \right\}$ with first term $\frac { 1 } { 8 }$, if $\frac { a _ { 3 } } { a _ { 2 } } = 2$, what is the value of $a _ { 5 }$? [2 points]\\
(1) $\frac { 1 } { 4 }$\\
(2) $\frac { 1 } { 2 }$\\
(3) 1\\
(4) 2\\
(5) 4