Geometric Sequences and Series
The ratio between each term in a geometric sequence.
What is a common ratio?
The idea of taking a percent of principle as interest, and adding it to the principle repeatedly.
What is compound interest?
The concept of making regular payments into an account to increase the total principle over time.
What is an annuity?
The inverse of an exponential function.
What is a logarithmic function?
The radian angle of 11pi/6 converted to degrees.
What is 330 degrees?
The general form of a geometric sequence
an = a1*rn-1
The handy tool that you can use to solve problems involving finance.
What is the finance app in the graphing calculator?
The concept of making regular payments into an account to decrease the principle owed over time.
What is amortization?
The asymptote of the equation below:
y = 0.4^x - 3
What is y = -3?
The binomial expansion of the terms:
(3x - 1)(x - 2)
What is
3x2-7x+2?
The missing term in the sequence:
20, X, 5, 2.5, 1.25…
The equation for future value, as represented by the sentence below:
A starting principle of 10,000 Growing at a rate of 8% per year, for 10 years.
What is
FV = 10,000(1.08)^10
The number of payments needed to pay off a $1,000 loan with an interest rate of 3% per year, making regular payments of $200 per year.
What is 6 payments?
The exponential function, expressed as a logarithmic form:
log15(200) = x
What is:
15x = 200?
The prime factorization of the number 260.
What is 22*5*13?
The sum of the first ten terms in the following geometric series:
3 + 1 + 1/3 +…
The interest accrued after investing $3000 into an account at an interest rate of 3% per year for 5 years.
What is $477.82?
The amount of money in the bank after making regular payments of $40 a month into an account with $100 in it, at an interest rate of 2% per year, for 10 years.
What is $4941.56?
The value of x in the expression below:
10x = 965
What is x = 2.98?
The concept of using perpendicular bisectors between points to draw boundaries where points in the plane are closest to points of interest.
What are Voronoi Diagrams?
The sum of all terms in the following geometric series:
1/2 + 1/4 + 1/16 + 1/32 + … + 1/2^n
What is 1?
The interest rate as a percent after a total of $25,000 is accrued over the course of 10 years, with an initial value of $20,000.
What is 2.26%?
The payment amount per month needed to pay off a loan of $12,000 at an interest rate of 2% per year, in 10 years.
What is $100.84?
The number of minutes needed for a cup of tea to become 35 Celsius, if it starts at a temperature of 100 Celsius and cools at a rate of 10% per minute, where the room temperature is 20 Celsius.
What is 15.89 minutes?
The range of area of a rectangle, if the sides are 4 by 5 inches, measured correctly to the nearest inch.
What is 15.75 ≤ A < 24.75?