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If: \begin{eqnarray*} ax+by&=&m_1,\\ ax^2+by^2&=&m_2,\\ ax^3+by^3&=&m_3,\\ ax^4+by^4&=&m_4\\ &\vdots& \\ \end{eqnarray*} Where : $m_1,m_2,m_3,m_4$ are constants

What is the general formula for :$ax^n+by^n$

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    What are you trying to do? This is not a very clear question. Unless you think $ax^n + by^n = m_n$ is a valid answer.2012-08-31
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    $a = b = m_k = 0$2012-08-31
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    Seems like a well-posed question. I assume you derive the unknowns a, b, x, y.2012-08-31
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    I think $ax^n + by^n$ is a pretty nice form already.2012-08-31

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