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Mathematics

Grade10

Easy

Question

The constant ratio of the geometric sequence $fraction numerator 3 over denominator 2 end fraction comma fraction numerator 1 over denominator 2 end fraction comma fraction numerator 1 over denominator 6 end fraction comma fraction numerator 1 over denominator 18 end fraction comma horizontal ellipsis$ is ______.

$\frac{1}{3}$
$\frac{3}{2}$
2
6

hint Hint:

Constant ratio = $fraction numerator fraction numerator 3 over denominator 2 end fraction over denominator fraction numerator 1 over denominator 2 end fraction end fraction$

The correct answer is: $fraction numerator 1 over denominator 3 end fraction$

The given geometric sequence is $fraction numerator 3 over denominator 2 end fraction comma fraction numerator 1 over denominator 2 end fraction comma fraction numerator 1 over denominator 6 end fraction comma fraction numerator 1 over denominator 18 end fraction comma horizontal ellipsis$
Constant ratio = $fraction numerator fraction numerator 3 over denominator 2 end fraction over denominator fraction numerator 1 over denominator 2 end fraction end fraction$
= $fraction numerator 1 over denominator 3 end fraction$

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