Two attempts to evaluate the sum are made on a computer working to eight digits. The first

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Two attempts to evaluate the sum

100  Aly -4

are made on a computer working to eight digits. The first evaluates the sum

1 + 24 34 + 44 + ... + 1 724

from the left; the second evaluates it from the right. The first method yields the result 1.082 320 2, the second 1.082 322 1. Which is the better approximation and why?

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