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Anna71 [15]
3 years ago
12

Which function can be used to describe the sequence? -2/3, -4, -24

Mathematics
1 answer:
pychu [463]3 years ago
5 0
Answer #3 is correct

6 is the common ratio (r)
first term is -2/3 (a)
the general equation is f(x)=a(r)^x-1
so plug in the number
f(x)=-2/3(6)^x-1
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Answer:

  1. 16√3
  2. -45+15i
  3. √255
  4. 6√2 +3√10

Step-by-step explanation:

1)

-4i\sqrt{-48}=-4i\sqrt{(-1)(4^2)(3)}=(-4i)(4i)\sqrt{3}=16\sqrt{3}

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2)

(-5-5i)(3-6i)=-5(3-6i)-5i(3-6i)=-15+30i-15i+30i^2=-15-30+15i\\\\=-45+15i

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3)

\sqrt{3}\sqrt{5}\sqrt{17}=\sqrt{3\cdot 5\cdot 17}=\sqrt{255}

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4)

\sqrt{3}(\sqrt{24}+\sqrt{30})=\sqrt{3\cdot 24}+\sqrt{3\cdot 30}=\sqrt{6^2\cdot 2}+\sqrt{3^2\cdot 10}\\\\=6\sqrt{2}+3\sqrt{10}

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The applicable identities are ...

\sqrt{a^2b}=a\sqrt{b}\\\\i^2=-1

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