simplifique [tex] \frac{ 3^{n+3} -3.3^{n} }{4. 3^{n+2} } [/tex].... Pergunta de ideia deleandrokurpel

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simplifique [tex] \frac{ 3^{n+3} -3.3^{n} }{4. 3^{n+2} } [/tex]

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Niiya

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$\dfrac{3^{n+3}-3\cdot3^{n}}{4\cdot3^{n+2}}$

Colocando 3^n em evidência no numerador e denominador:

$\dfrac{3^{n+3}-3\cdot3^{n}}{4\cdot3^{n+2}}=\dfrac{3^{n}\cdot(3^{3}-3)}{3^{n}\cdot(4\cdot3^{2})}\\\\\\\dfrac{3^{n+3}-3\cdot3^{n}}{4\cdot3^{n+2}}=\dfrac{3^{3}-3}{4\cdot3^{2}}\\\\\\\dfrac{3^{n+3}-3\cdot3^{n}}{4\cdot3^{n+2}}=\dfrac{3^{2}-1}{4\cdot3^{1}}\\\\\\\dfrac{3^{n+3}-3\cdot3^{n}}{4\cdot3^{n+2}}=\dfrac{9-1}{12}\\\\\\\dfrac{3^{n+3}-3\cdot3^{n}}{4\cdot3^{n+2}}=\dfrac{8}{12}\\\\\\\boxed{\boxed{\dfrac{3^{n+3}-3\cdot3^{n}}{4\cdot3^{n+2}}=\dfrac{2}{3}}}$

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tawanyhevelly Sabendo que um capital C,aplicado a juros simples,rende em 4 meses o equivalinte a 1/5 de seu valor,determine a taxa de juros mensal.

Determine o valor de 0,173173173.. +[tex] \frac{1}{9} [/tex]

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leandrokurpel March 2022 | 0 Respostas

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Determine o valor de 0,173173173.. +[tex] \frac{1}{9} [/tex]

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