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Home » Note that the general term can be decomposed using partial fractions: - AIKO, infinite ways to autonomy.

Note that the general term can be decomposed using partial fractions: - AIKO, infinite ways to autonomy.

📅 May 4, 2026 👤 scraface

May 04, 2026

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Thus, the answer is $\boxed{437}$.
Question: What is the smallest positive integer whose square ends in 2...
Solution: Let $x^2 \equiv 25 \pmod{100}$.
This implies $x \equiv \pm5 \pmod{10}$. Testing $x = 5$: $5^2 = 25$ en...
Thus, the smallest such integer is $\boxed{5}$.Question: An entomologi...
Solution: The problem requires calculating the number of distinct perm...
\frac{10!}{5! \cdot 3! \cdot 2!} = \frac{3628800}{120 \cdot 6 \cdot 2}...
The number of distinct observation sequences is $\boxed{2520}$.
Question: A science communicator creates a 10-part video series with 4...
Solution: This is a multinomial permutation problem. The total sequenc...

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