Triangular Numbers (Part II)

In the prior lecture we have shown how Gauss solved the problem of
finding the sum 1+2+3+ ... +100.
In Gauss solution we reduce the problem of finding the sum of different natural numbers to the problem of finding the sum of 50 equal numbers. It is very natural in mathematics to generalized concepts and results. A natural small generalization of the prior result will be to
Find the sum 1+2+3+ ... +n.

• Triangular Numbers (Part I)
• Triangular Numbers (Part III)

• Arithmetic progression (wikipedia)
• Arithmetic Series (mathworld)
• Arithmetic Progression (mathworld)
• Triangular Numbers (cut the knot)
• Triangular Numbers (cut the knot)

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