What is the common ratio of the geo netric sequence whose second and fourth terms are 6 and 54, respectively?
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Answer:
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
We already know m-value as we substitute it.
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
Finally, we know b-value. Then we substitute it in our equation.