NO LINKS!!! 5. Given two terms in the sequence, find the equation in the form t(n)= mn + b. Part 2

a. t(18)= 3362 and t(38) = 7362

b. t(18)= 44.3 and t(33)= 84.8

  a) t(n) = 200n -238

  b) t(n) = 2.7n -4.3

Step-by-step explanation:

This is the same sort of problem as writing the equation of a line through two points. The slope (coefficient of n) is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

And the constant term is found from one point and the slope:

  b = y1 -m·x1

As always, if you have a number of these to do, you can save some trouble by putting the formulas in a spreadsheet. It will guarantee the formula is executed without mistakes.

In the attached, we have labeled the points (n1, t1), (n2, t2) instead of (x1, y1) and (x2, y2).

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a) t(n) = 200n -238

b) t(n) = 2.7n -4.3

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