Question

If the base of the triangle is 1, how is the height of thetriangle associated with the common difference of thesequence and the slope of the line?

Answer 1

1) Gathering the data

Triangle base = 1

Triangle height = 2

Common difference: 2

Slope: m

Considering the points (0,2) and (1,4)

m =4-2/1-0 m=2

2) Working with the picture:

Looking at those triangles, whose base is 1 and height is 2 we can say that the common difference (2) is the same as the slope (2) In other words,

The height of the triangle is equal to the slope. The sequence goes on and on but the height remains the same as the slope of the line. In this case, the slope is m=2