taiwan-gsat 2006 Q8

taiwan-gsat · Other · gsat__math Arithmetic Sequences and Series Properties of AP Terms under Transformation
8. Suppose real numbers $a _ { 1 } , a _ { 2 } , a _ { 3 } , a _ { 4 }$ form an arithmetic sequence, and satisfy $0 < a _ { 1 } < 2$ and $a _ { 3 } = 4$. If $b _ { n } = 2 ^ { a _ { n } }$ is defined, which of the following options are correct?
(1) $b _ { 1 } , b _ { 2 } , b _ { 3 } , b _ { 4 }$ form a geometric sequence.
(2) $b _ { 1 } < b _ { 2 }$.
(3) $b _ { 2 } > 4$.
(4) $b _ { 4 } > 32$.
(5) $b _ { 2 } \times b _ { 4 } = 256$.
& A 
8. Suppose real numbers $a _ { 1 } , a _ { 2 } , a _ { 3 } , a _ { 4 }$ form an arithmetic sequence, and satisfy $0 < a _ { 1 } < 2$ and $a _ { 3 } = 4$. If $b _ { n } = 2 ^ { a _ { n } }$ is defined, which of the following options are correct?\\
(1) $b _ { 1 } , b _ { 2 } , b _ { 3 } , b _ { 4 }$ form a geometric sequence.\\
(2) $b _ { 1 } < b _ { 2 }$.\\
(3) $b _ { 2 } > 4$.\\
(4) $b _ { 4 } > 32$.\\
(5) $b _ { 2 } \times b _ { 4 } = 256$.
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11