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3 years ago

What is the common difference for the sequence shown below?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

5 0

we can always find the slope of any line by simply using two points on the line, say let's use (3,4) and (-1,2)

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-4}{-1-3}\implies \cfrac{-2}{-4}\implies \stackrel{\stackrel{\textit{common difference}}{\downarrow }}{\cfrac{1}{2}}$

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