csat-suneung 2013 Q7

csat-suneung · South-Korea · csat__math-humanities 3 marks Geometric Sequences and Series Finite Geometric Sum and Term Relationships

For a geometric sequence $\left\{ a _ { n } \right\}$ with all positive terms, $$\frac { a _ { 1 } a _ { 2 } } { a _ { 3 } } = 2 , \quad \frac { 2a _ { 2 } } { a _ { 1 } } + \frac { a _ { 4 } } { a _ { 2 } } = 8$$ what is the value of $a _ { 3 }$? [3 points]
(1) 16
(2) 18
(3) 20
(4) 22
(5) 24

For a geometric sequence $\left\{ a _ { n } \right\}$ with all positive terms,
$$\frac { a _ { 1 } a _ { 2 } } { a _ { 3 } } = 2 , \quad \frac { 2a _ { 2 } } { a _ { 1 } } + \frac { a _ { 4 } } { a _ { 2 } } = 8$$
what is the value of $a _ { 3 }$? [3 points]\\
(1) 16\\
(2) 18\\
(3) 20\\
(4) 22\\
(5) 24

Paper Questions

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