Name that Sequence
Arithmetic or Geometric
Write the Formula
Compound Interest
Exponential Growth/Decay
100
Is the following sequence Arithmetic, Geometric or Neither? 12, 14, 16, 18, 20, .....
Arithmetic
100
This is the value of the 60th term when the 1st term is 5 and the common difference is -5.
-290
100
The explicit formula for the sequence: 2, 6, 10, 12, 16.......
an = 4n - 2
100
What is the total balance with a principal of $1,240 at 8% compounded annually for 2 years?
$1,446.34
100
In exponential functions, when b>1 this will cause an exponential growth or decay? When be is <1 will this cause exponential growth or decay?
b>1 Exponential growth
B<1 Exponential decay
200
Is the following sequence Arithmetic, Geometric or Neither? 3, 8, 13, 18, 22, .....
Arithmetic
200
This is the value of the 10th term when the 1st term is 1 and the common ratio is 3.
19683
200
The explicit formula for the sequence: -1, 2, 5, 8, 11
an = 3n - 4
200
What is the total balance with a principal of $1,030 at 4% compounded annually for 2 years?
$1,114.05
200
A bunny population doubles every 6 months. If the starting population is 10, how many will you have after 3 years? What is the initial population? What is the growth factor?
initial population = 10
growth rate = 2
300
Is the following sequence Arithmetic, Geometric or Neither? 4, 11, 17, 24, 34, ....
Neither
300
If, y=a(b)x, what do they represent?
a = initial amount/y-intercept
b = growth/decay factor
300
The explicit formula for the sequence 3, 9, 27, 81,......
an = 3 * 3^(n-1)
300
What is the total balance with a principal of $7,300 at 7% compounded annually for 3 years?
$8,942.81
300
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. What can she expect the value of her car to be after 3.5 years?
f(x) = 26400(.88)3.5 = $16,876.92
400
Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 375, 75, 15, 3, 3/5, ........
Geometric, r = 1/5
400
Is the following function growth or decay:
f(x)=7(32)x
Growth
400
The explicit formula for the sequence: -16, -25, -34, -43, -52 Find the value of the tenth term
an = - 7 - 9n, a10 = -97
400
What is the total balance with a principal of $1,500 at 7% compounded annually for 3 years?
$1,837.56
400
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69
500
Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 506, 403, 300, 197, 94, .....
Arithmetic, d = -103
500
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay by 7%
500
The explicit formula for the sequence 2, 8, 32, 128, ....... What is the value of the 10th term?
an = 2 * 4^(n-1), a10 = 524288
500
Anjali invests a sum of money in a retirement account with a fixed annual interest rate of 6.79% compounded continuously. After 20 years, the balance reaches $14,037.16. What was the amount of the initial investment?
$3,610
500
16,941 people