A new company is projecting its profits over a number of weeks. They predict that their profits each week can be modeled by a geometric sequence.
Three weeks after they started, the company's projected profit is $10,985.00
Four weeks after they started, the company's projected profit is $14,280.50
Let Pn be the projected profit, in dollars, n weeks after the company started tracking their profits.
a. What is the common ratio of the sequence?
b. Calculate the initial value
c. Construct a recurrence relation that can be used to model the value of Pn
a. 14,280.50/10,985.00 = 1.3
b. 3 weeks ago, the Initial value is 10,985/1.3^3 = $5,000
c. Pn = 5000 * 1.3^n
Three weeks after they started, the company's projected profit is $10,985.00
Four weeks after they started, the company's projected profit is $14,280.50
Let Pn be the projected profit, in dollars, n weeks after the company started tracking their profits.
a. What is the common ratio of the sequence?
b. Calculate the initial value
c. Construct a recurrence relation that can be used to model the value of Pn
a. 14,280.50/10,985.00 = 1.3
b. 3 weeks ago, the Initial value is 10,985/1.3^3 = $5,000
c. Pn = 5000 * 1.3^n