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Home » You Won’t Believe Which Gaming Chair Gets 10,000 Reviews – Are You Using This Thing? - Moon Smoking

You Won’t Believe Which Gaming Chair Gets 10,000 Reviews – Are You Using This Thing? - Moon Smoking

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 $$Question: How many numbers are in the list \( 3, 8, 13, \ldots, 98 \)?

📌 Solution: The given sequence is an arithmetic sequence with the first term \( a = 3 \) and common difference \( d = 5 \). The general term of the sequence is given by:

📌 a_n = a + (n-1) \cdot d = 3 + (n-1) \cdot 5

📌 We need to find \( n \) such that \( a_n = 98 \):

📌 + (n-1) \cdot 5 = 98

📌 Subtract 3 from both sides:

📌 Divide by 5:

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\[ 12p + 2q = 14 \]
\[ 6p + q = 7 \quad \text{(E4)} \]
Subtract E2 from E3:
\[ (37p + 7q + r) - (19p + 5q + r) = 45 - 25 \]
\[ 18p + 2q = 20 \]
\[ 9p + q = 10 \quad \text{(E5)} \]
Subtract E4 from E5:
\[ (9p + q) - (6p + q) = 10 - 7 \]
\[ 3p = 3 \Rightarrow p = 1 \]
Substitute \( p = 1 \) into E4:

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