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A linear equation/term is where the differences in a sequence of numbers is irregular
Example:
n 1 2 3 4 5 6 7 8
linear 3 5 7 9 11 13 15 17
Difference 2 2 2 2 2 2 2
n 1 2 3 4 5 6 7 8
non-linear 2 5 10 17 26 37 50 65
Difference 3 5 7 9 11 13 15
In this example the nth term for the linear sequence is 2n + 1 and for the non-linear sequence n squared + 1. Another way of seeing this is to make a line on a graph where the equation for the line is Y= 2X + 1 (replace n with X and put 'Y=' at the beginning) and this line will be straight as it's equation is LINEar whereas a non-LINEar equation will make a curve and not a line.
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∙ 11y ago
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