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For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut point with the y axis
We have the following points:
We find the slope:
Thus, the equation is of the form:
We substitute a point and find b:
Finally, the equation is:
Answer:
Notice that the pattern is "previous term plus 2". This is an arithmetic sequence where the difference (d) equals +2
= a₁ + d(n - 1) ; where a₁ is the first term, d is the difference, and n is the term.
f(n) = 1 + 2(n - 1)
f(n) = 1 + 2n - 2
f(n) = 2n - 1
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f(10) = 2(10) - 1
f(10) = 20 - 1
f(10) = 19