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Difficulty: 2/102025 IOQM 2025 (Q28)

Find the sum of the first positive integers.

Options:

  • 210

  • B.

    213

  • C.

    211

  • D.

    212

Guide / Hint

Hint 1: Use the formula for the sum of the first natural numbers: .

Hint 2: Here, . Plug this into the formula.

Hint 3: Compute: .

Solution

Step 1: The sum of the first positive integers is given by the formula:

Step 2: We want the sum for the first integers (). Substitute into the formula:

So the sum is .

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