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Problem: Sum of Consecutive Positive Integers

Deduce a closed formula for the sum of arithmetic progression $$1+2+3+\ldots+n$$ using the fundamental theorem of the difference calculus.

| | | | created: 2020-05-17 10:58:32 | modified: 2020-05-17 11:14:03 | by: bookofproofs | references: [8404]

1.Solution: (related to "Sum of Consecutive Positive Integers")

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Bibliography (further reading)

[8404] Miller, Kenneth S.: “An Introduction to the Calculus of Finite Differences And Difference Equations”, Dover Publications, Inc, 1960