In Example 5, change 1000 to 500 and then find the sum.

Data from Example 5

Find the sum of the first 1000 positive integers. The first 1000 positive integers form a finite arithmetic sequence for which a₁ = 1, a₁₀₀₀ = 1000, n = 1000 and d = 1. Substituting these values in Eq. (19.3) (in which we do not use the value of d), we have

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$1000 1000 2 = 500, 500 (1 + 1000) = 500(1001)