How to?
a geometric sequence
what is sequence a sequence of numbers where each term after the first is found by multiplying the previous term
what MUST you do when give a percent
Every year Beth doubles the amount of money she donates to charity. She donated $1 when she was ten years old. How much money will she donate at age 20?
$1,024
1 month is what fraction of a year?
1/12 of a year.
JJ deposited money into an account with an annual interest rate of 6% compounded annually. How much money will be n the account ten years later?
8954.24
how to find the common ratio
what is divide the second term by the previous term
what is exponential decay modeled by? (function)
y=a(1-r)t
During the first week that a movie was in theaters, 1 million people saw the movie. Each week going forward, half the number of people saw the movie as the previous week. How many people will see the movie in the fifth week.
62,500
3 months is what fraction of a year?
1/4 of a year
Jamie deposits $627 into a savings account. The account has an interest rate of 3.5% compounded quarterly. Write the function that gives the amount of money in dollars, J(t), Jamie's account t years after the initial deposit.
J (t)= 627 (1+(.035/4))4t
how to write the nth term of an explicit geometric formula.
what is the explicit rule for the nth term of a geometric formula with a common ratio (r) is an =a1 .r n-1
what is exponential growth modeled by? (function)
y=a(1+r)t
The balance of an account after t years can be found using the expression 6000(1.02)t where the initial balance was $6000. By what percent does the amount increase annually?
2%
8 months is what fraction of a year?
3/4 of a year
The Equation A= 1750(1.04)t represents an account balance t years after the account was created. How much does the account balance increase annually?
4%
how to find the 6th term using explicit formula
substitute your value of n into your explicit formula.
what is exponential growth?
exponential growth is when a quantity increases by the same rate in each time period
6700 dollars is placed in an account with an interest rate of 8%. How much will be in the account after 24 years? (to the nearest cent)
42,485.91
18 months is what fraction of a year?
1.5 years
The function p(t)=3(2)t represents the population of bacteria after t days. What's the population of the bacteria after 5 days?
96
how to find the first 3 terms using the recursive formula?
to find the first 4 terms, start with your first term, then use the formula to find the next 3 terms.
what is exponential decay
exponential decay is when a quantity decreases by the same amount each time
The population of a city is decreasing at a rate of 6% each year. In 2000 there were 35,000 people in the city. What's the population in 2012?
16,657
30 months is what fraction of a year?
2.5 years
Ella deposits $1500 into her bank account that pays 4% annual interest. Find the balance after 6 years if the interest is compounded monthly. Round to the nearest cent.
1500