csat-suneung 2009 Q5

csat-suneung · South-Korea · csat__math-humanities 3 marks Geometric Sequences and Series Finite Geometric Sum and Term Relationships
Four numbers $1 , a , b , c$ form a geometric sequence with common ratio $r$ in this order, and satisfy $\log _ { 8 } c = \log _ { a } b$. What is the value of the common ratio $r$? (where $r > 1$) [3 points]
(1) 2
(2) $\frac { 5 } { 2 }$
(3) 3
(4) $\frac { 7 } { 2 }$
(5) 4
Four numbers $1 , a , b , c$ form a geometric sequence with common ratio $r$ in this order, and satisfy $\log _ { 8 } c = \log _ { a } b$. What is the value of the common ratio $r$? (where $r > 1$) [3 points]\\
(1) 2\\
(2) $\frac { 5 } { 2 }$\\
(3) 3\\
(4) $\frac { 7 } { 2 }$\\
(5) 4