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Devising a Plan: Solution

Explore how to apply Gauss's method to solve arithmetic series problems. Understand the formula for the sum of arithmetic sequences and learn to calculate solutions systematically, as demonstrated through the example of determining blocks for Jill's triangular wall.

Solution

We’ve learned how to use Gauss’s method to calculate the sum of the first 100 consecutive numbers. Let’s apply this technique to assist little Jill in determining the number of blocks needed for her wall. In this case, we have only 5050 numbers ...