Geometric Sequences
The 7th term of this sequence:
3, 6, 12, 24, ...
What is 192?
This is in the exponent above (1/2) in the half-life equation.
What is t/h ?
This is the "k" value ("n" on deltamath) for interest that compounds weekly.
What is 52?
This is the mathematical constant that appears in the continuous compound equation.
What is e?
This famous philosopher and polymath allegedly discovered that the relationship between sides of a right triangle could be expressed as a2 + b2 = c2
Who is Pythagoras?
The formula for this geometric sequence:
2, 6, 18, 54, ...
What is
gn= 2(3)n-1
This is true about the units of t and h in the half-life equation.
What is being the same?
This is the r-value you would use in the equaiton if the annual interest rate is 0.67%
What is 0.0067?
When using the continuous compound equation, this is true about t if you are going back in time?
What is being negative?
This is the only even prime number.
What is 2?
The formula for this geometric sequence:
0.5, 4, 32, ...
What is
gn=0.5(8)n-1
The equation after t minutes if the half life of a substance is 17 minutes, and you start with 4000g of the substance.
What is f(t)=4000(1/2)t/17
The equation after t years if you invested $5000 into an account that gains 5.6% interest compounded monthly.
What is f(t)=5000(1+0.056/12)12t
The equation for a city's population after t years if it has 500,000 people and grows at 3.2% per year.
What is f(t)=500000e0.032t
The mathematical constant e is named after this famous Swiss mathematician.
Who is Leonhard Euler?
The formula for this geometric sequence:
81, 27, 9, 3, 1, ...
What is
gn=81(1/3)n-1
The half-life of Zn-71 is 2.4 minutes. If one had 100g at the beginning, this is the amount of grams that would be left after 7.2 minutes has elapsed.
What is 12.5 g?
Zoe invested $7,300 in an account paying an interest rate of 3.5% compounded annually. This is how much she would have after 20 years.
What is $14,525.46
Victoria invested $9,300$9,300 in an account paying an interest rate of 4.5%4.5% compounded continuously. This is how much she would have after 7 years.
What is $12743.41
This is the only number whose letters are in alphabetical order.
What is Forty?
Find the 11th term of this sequence:
2.5, 5, 10, 20, ...
What is 2560?
The price of a car loses half its value after 4 years. If a brand new car costs $46,000, this is the price after 9 years.
What is $9,670.31 ?
Aaron invested $210 in an account paying an interest rate of 4.5% compounded quarterly. This is how much he would have after 15 years.
What is $410.90?
This is the population of the Fakesville in 2050 if it currently has 30,000 people and grows at a rate of 2.7% per year.
What is 57351 people?
What are Platonic Solids?