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There are (1780 - 131) = 1649 numbers on the list.

The one in the middle is 1/2(1780 + 132) = 956.

There are 824 numbers above it, and 824 numbers below it.

Use them to make pairs, like this:

132 + 1780 = 1912

133 + 1779 = 1912

134 + 1779 = 1912

.

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954 + 958 = 1912

955 + 957 = 1912

Each pair adds to 1912. There are 824 pairs. Their sum is (824) x (1912) = 1,575,488

Don't forget to add the one in the middle: 1,575,488 + 956 = 1,576,444

-- With danken und apologies to Dr. Gauss.

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Q: What is the sum of the sequence of consecutive whole numbers that begin with 132 and ends with 1780?
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