Question

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...}

Answer 1

a linear function to describe the sequence is:

y = 5x + 5

Step-by-step explanation: ik ur on usa te$t prep

Answer 2

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