given that an arithmetic sequence can be expressed as a linear function in the form f(x)=mx+b, write a linear function to describe the sequence {10,15,20,25,30,35...}
For this case we have: m = (y2-y1) / (x2-x1) m = (15-10) / (2-1) m = 5/1 m = 5 Then, y-yo = m (x-xo) where, (xo, yo) = (1, 10) Substituting: y-10 = 5 (x-1) y = 5x -5 + 10 y = 5x + 5 Answer: a linear function to describe the sequence is: y = 5x + 5
