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Home » Subtracting consecutive equations eliminates $ d $: - Nurtured Nest

Subtracting consecutive equations eliminates $ d $: - Nurtured Nest

📅 May 8, 2026 👤 scraface

May 08, 2026

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First, find the smallest 3-digit number divisible by 11:
\[ 100 \div 11 = 9.09 \]
The smallest integer greater than or equal to 9.09 is 10, so:
\[ 11 \times 10 = 110 \]
Now, find the largest 3-digit number divisible by 11:
\[ 999 \div 11 = 90.8181 \]
The largest integer less than or equal to 90.8181 is 90, so:
\[ 11 \times 90 = 990 \]
The sequence of 3-digit numbers divisible by 11 is an arithmetic seque...
\[ l = a + (n-1) \times d \]

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