term
3
Are points (n, u) of an arithmetic sequence always collinear? Write
a brief statement supporting your answer.
y-inter

Respuesta :

The points (n, u) of an arithmetic sequence are always collinear

How to determine if the points (n, u) of an arithmetic sequence are always collinear?

The points are given as:

Points = (n, u)

The nth term of an arithmetic sequence is represented as:

Tn = a + (n - 1)d

Expand the bracket

Tn = a + nd - d

Collect the like terms

Tn = -d + a + nd

Evaluate the like terms

Tn = -d + a + nd

The above is a linear equation

All points on a the line of a linear equation are always on the same line, this means that they are collinear

Hence, the points (n, u) of an arithmetic sequence are always collinear

Read more about arithmetic sequence at

https://brainly.com/question/6561461

#SPJ1