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Oksanka [162]
3 years ago
15

Consider the following geometric series. [infinity] (−7)n − 1 8n n = 1. Find the common ratio. Determine whether the geometric s

eries is convergent or divergent. convergent divergent If it is convergent, find its sum.
Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

d67d6d 34r2

Step-by-step explanation:

d53eududc6ttd5cf

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lbvjy [14]

\bf ~\hspace{10em}\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 8x^3-125~~ \begin{cases} 8=2\cdot 2\cdot 2\\ \qquad 2^3\\ 125=5\cdot 5\cdot 5\\ \qquad 5^3 \end{cases}\implies 2^3x^3-5^3\implies (2x)^3-5^3 \\[2em] [2x-5][(2x)^2+(2x)(5)+5^2]\implies (2x-5)(\stackrel{\stackrel{j}{\downarrow }}{4}x^2+\stackrel{\stackrel{k}{\downarrow }}{10}x+25)

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5 0
3 years ago
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Rainbow [258]
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The grandma of a 6-year-old is asking them 2x3 what is 2x3
Anton [14]

Answer:

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Step-by-step explanation:

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\frac{V_1}{V_2}=k^3 \\ \\
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k=\sqrt[3]{\frac{8}{27}} \\
\boxed{k=\frac{2}{3}} \Leftarrow \hbox{answer B}
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4 years ago
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