The sequence of 3-digit numbers divisible by 11 is an arithmetic sequence with the first term $a = 110$, last term $l = 990$, and common difference $d = 11$. The number of terms $n$ is given by:

February 22, 2026

$The sequence of 3-digit numbers divisible by 11 is an arithmetic sequence with the first term $a = 110$, last term $l = 990$, and common difference $d = 11$. The number of terms $n$ is given by:$

\[ 999 \div 11 = 90.8181 \]
The largest integer less than or equal to 90.8181 is 90, so:
\[ 11 \times 90 = 990 \]
\[ l = a + (n-1) \times d \]
\[ 990 = 110 + (n-1) \times 11 \]
\[ 880 = (n-1) \times 11 \]

The sequence of 3-digit numbers divisible by 11 is an arithmetic sequence with the first term \(a = 110\), last term \(l = 990\), and common difference \(d = 11\). The number of terms \(n\) is given by:

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