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Linear number
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In mathematics, a linear number is a figurate number that follows a pattern where the nth linear number l<sub>n</sub> is equal to the nth whole number, or natural number. A linear number is the simplest form of a figurate number. The triangular number<nowiki/>s can be found by adding up sequential linear numbers, that is, a linear number is a gnomon for the triangular numbers. Such gnomons played a role in the mathematical investigations of Pythagoras. The first 100 linear numbers are as follows: 1, 2, 3 ... 97, 98, 99, 100 The nth linear number can be derived using this formula: <math>P_1(n)=(n\div1!)</math> Or, more simply: <math>P_1(n)=n</math> |
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