csat-suneung 2016 Q6

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

For a geometric sequence $\left\{ a _ { n } \right\}$ with a non-zero first term, $$a _ { 3 } = 4 a _ { 1 } , \quad a _ { 7 } = \left( a _ { 6 } \right) ^ { 2 }$$ what is the value of the first term $a _ { 1 }$? [3 points]
(1) $\frac { 1 } { 16 }$
(2) $\frac { 1 } { 8 }$
(3) $\frac { 3 } { 16 }$
(4) $\frac { 1 } { 4 }$
(5) $\frac { 5 } { 16 }$

For a geometric sequence $\left\{ a _ { n } \right\}$ with a non-zero first term,
$$a _ { 3 } = 4 a _ { 1 } , \quad a _ { 7 } = \left( a _ { 6 } \right) ^ { 2 }$$
what is the value of the first term $a _ { 1 }$? [3 points]\\
(1) $\frac { 1 } { 16 }$\\
(2) $\frac { 1 } { 8 }$\\
(3) $\frac { 3 } { 16 }$\\
(4) $\frac { 1 } { 4 }$\\
(5) $\frac { 5 } { 16 }$

Paper Questions

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