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<p><b>New page</b></p><div>==Problem Statement==<br />
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'''An Arithmetic Geometric Sequence'''<br />
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Given is the arithmetic-geometric sequence u(k) = (900-3k) r^{k-1}.<br />
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Let s(n) = Σ_{k=1...n} u(k).<br />
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Find the value of r for which s(5000) = -600,000,000,000.<br />
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Give your answer rounded to 12 places behind the decimal point.<br />
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==Flags==<br />
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