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Recursionhard
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The sequence (an)(a_n)(an​) is defined by an≡2an−1+1(mod5)a_n \equiv 2a_{n-1} + 1 \pmod{5}an​≡2an−1​+1(mod5) with a0≡1(mod5)a_0 \equiv 1 \pmod{5}a0​≡1(mod5). What is a4(mod5)a_4 \pmod{5}a4​(mod5)?