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Home » $S_n$: number of valid strings of length $n$ ending in 3 - Databee Business Systems

$S_n$: number of valid strings of length $n$ ending in 3 - Databee Business Systems

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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🔥 Popular Posts

eq 0 $. Contradiction? Wait, from $ k(2) = 0 $, check $ x = 1, y = -1...
Question: Find the remainder when $ x^5 - 3x^3 + 2x - 1 $ is divided b...
Solution: Note $ x^2 - 2x + 1 = (x - 1)^2 $. Use polynomial division o...
Solution: We are to count how many integers from 1 to 120 are relative...
First, factor 12:
$ 12 = 2^2 imes 3 $.
\phi(12) = 12 \left(1 - rac{1}{2}
ight)\left(1 - rac{1}{3}
ight) = 12 imes rac{1}{2} imes rac{2}{3} = 4.
So, among every 12 consecutive integers, exactly 4 are relatively prim...

📝 Recent Posts

Add 5 to both sides to solve for \(x\):
\[ x = 7 + 5 \]
The solution is \(\boxed{12}\).
Question:** In a circuit, two identical resistors regularly cost a tot...
Let the cost of one resistor be \(x\). According to the problem, two r...
\[ 2x = 60 \]
Solving for \(x\), divide both sides by 2:
\[ x = 30 \]
The cost of one resistor is \$30. Therefore, the cost of five resistor...
\[ 5x = 5 \times 30 = 150 \]

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