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G285 2021 MC-IME I

Revision as of 17:57, 7 June 2021 by Geometry285 (talk | contribs) (Created page with "==Problem 1== Let a recursive sequence <math>a_n</math> be defined such that <math>a_1=20</math>, and <math>a_n=16a_{n-1}+4</math>. Find the last <math>4</math> digits of <cma...")
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Problem 1

Let a recursive sequence $a_n$ be defined such that $a_1=20$, and $a_n=16a_{n-1}+4$. Find the last $4$ digits of \[\sum_{i=1}^{100} a_i\]

Solution

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