It appears you’re looking for the summation of the expression \( \sum_{k=1}^{1001} (3k - 1) \).

### Solution
The expression \( \sum_{k=1}^{1001} (3k - 1) \) represents the sum of the terms generated by \( 3k - 1 \) from \( k = 1 \) to \( k = 1001 \).

#### Step 1: Find the General Sum Formula
The term \( 3k - 1 \) is an arithmetic sequence where each term increases by a common difference of 3. The summation formula for an arithmetic series \( \sum_{k=1}^n (ak + b) \) can be applied here, or we can calculate it term-by-term.

Since \( 3k - 1 \) is linear, we can break the sum as follows:
\[
\sum_{k=1}^{1001} (3k - 1) = \sum_{k=1}^{1001} 3k - \sum_{k=1}^{1001} 1
\]

#### Step 

Calculate the sum of the arithmetic sequence ∑ (3k - 1) from k=1 to 1001 using the arithmetic series summation formula. This detailed solution guides students through key steps and formulas involved in summing linear expressions in an arithmetic sequence. Suitable for Grades 10-12.

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