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DENIUS [597]
3 years ago
12

BRAINLIEST FOR BEST ANSWER!!!

Mathematics
1 answer:
sertanlavr [38]3 years ago
4 0

less than; Set A

It is less than, because if you add half of the sum of the least and greatest numbers of the set to the lowest number in the set, you get the median. The median of Set A was 17, and the Median of Set B was 17.5.

Set A is more variable in terms of range, because it has a larger range.

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Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

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(1)           (12, 18, 27, ...)

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a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

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