Recursive to
Explicit
Explicit
Explicit to
Recursive
Recursive
Geometric
(n-1)
(n-1)
Arith-Geo
Linear-Expo
Neiher
Linear-Expo
Neiher
Growth or
Decay
Decay
%%%%
Compound
Final Amount
100
a1 = 27
an = an-1 (14)
an = 27(14)n-1
100
an = 8 (- 23)n-1
a1 = 8;
an = an-1(8)
100
3, 6, 12, 24
f(x) = a(r)x-1
f(x) = 3(2)x-1
100
Ariana put 55 flowers in the first vase, 56 flowers in the second vase, 58 flowers in the third vase, and 62 flowers in the fourth vase. What kind of sequence is this?
geometric or exponential
100
Madi takes 1000mg Tylenol that has a half life of 1 hour. How may milligrams will she have in 3 hours?
equation and answer
1000(1/2)x
125
100
Kenny lives in Greenpoint, where the cost of living increases by 8% every year. If Kenny spends $50,700 this year, how much can he expect to spend 11 years from now to maintain the same standard of living?
Equation and answer a(b)x
50700 (1 + .08)x
$118,214
100
Darell opened a savings account and deposited $700.00 as principal. The account earns 10% interest, compounded quarterly.
A = 700 (1 + 10/4)(4x)
100
Darell opened a savings account and deposited $700.00 as principal. The account earns 10% interest, compounded quarterly. What is the amount in 10 years.
$1879.54
200
a1 = 33;
an = an-1 (-7)
an = 33(-7)n-1
200
an = 100 (3)n-1
a1 = 100
an = an-1 (3)
200
2, 10, 50, 250
f(x) = a(r)x-1
f(x) = 2(5)x-1
200
2, 3, 5, 8, 12
Neither
200
A yeast for bread doubles in size every 24 hours. It was originally 6 ounces. How many ounces will it be in a week?
equation and answer
a(b)x
6(2)x
768
200
Somerville has a population of 38,400 people. The town has been seeing its population decline by 3% every year. If this trend continues, what will the population be in 3 years?
Equation and answer
a(b)x
38400(1 - .03)x
35046
200
Kinsley puts $500.00 into an account to use for school expenses. The account earns 12% interest, compounded monthly.
A = 500(1 + .12/12)(12x)
200
Kinsley puts $500.00 into an account to use for school expenses. The account earns 12% interest, compounded monthly. How much would Kinsley have in 7 year?
$1153.36
300
a1 = 43;
an = an-1 (3)
an = 43(3)n-1
300
an = -2(-5)n-1
a1 = -2;
an = an-1 (-5)
300
-1, 2, -4, 8, -16
f(x) = a(r)x-1
f(x) = -1(-2)x-1
300
54, 60, 66, 72, 78
Arithmetic or Linear
300
Liver cells can quadruple every day with a new therapy. If the patient started with 500 cells. How many would they have after 5 days.
equation and answer
a(b)x500(4)x
512,000
300
Zane deposited $3,000 in an account earning 11% interest annually. (not compounded) How much will he have in 5 years?
Equation and answer
a(b)x
3000(1+.11)x
$5055.17
300
Nate puts $400.00 into an account to use for school expenses. The account earns 11% interest, compounded semi-annually.
A = 400(1 + .11/2)(2x)
300
Nate puts $400.00 into an account to use for school expenses. The account earns 11% interest, compounded semi-annually. How much would Nate have in 12 years?
$1445.84
400
a1 = -80
an = an-1 (6)
an = 80(6)n-1
400
an = -2 (3)n-1
a1 = -2;
an = an-1 (3)
400
1, 4, 16, 64
f(x) = a(r)x-1
f(x) = 1(4)x-1
400
Heather is organizing her books and putting them on shelves. She put 1 book on the first shelf, 5 books on the second shelf, 25 books on the third shelf, and 125 books on the fourth shelf.
geometric or exponential
400
A house has 800,000 termites. The bug company says there chemicals will kill half the termites every 4 hours. How many termites will still be alive after 1 day.
equation and answer
800000(1/2)x
12500
400
Madi takes 500mg of Tylenol and it has a half life every hour. How many milligrams will she have left in 3 hours?
Equation and answer
a(b)x
500(1/2)x
62.5mg
400
Nora is saving up money to buy a car. Nora puts $10,000.00 into an account which earns 15% interest, compounded quarterly.
A = 10000(1+.15/4)(4x)
400
Nora is saving up money to buy a car. Nora puts $10,000.00 into an account which earns 15% interest, compounded quarterly. how much would Nora have in 4 years?
$18022.28
500
a1 = 90;
an = 2an-1
an= 90(2)n-1
500
an = -90(-5)n-1
a1 = -90;
an = an-1 (-5)
500
3, -9, 27
f(x) = a(r)x-1
f(x) = 3(-3)x-1
500
Judith deposits $79 in her bank account each week.
Arithmetic or linear
500
Rabbits in the forest are tripling every month. The forestry department originally counted 250 rabbits at the end of April. How many rabbits will there in October?
Equation and answer
250(3)x
182250
500
The population of spiders are growing at 55% every 2 months. The experiment started with 12 spiders. How many spiders are there in 10 months.
Equation and answer
12(1+.55)x
107
500
Camilla puts $4,208.00 into an account to use for school expenses. The account earns 9% interest, compounded weekly.
A = 4208(1 + .09/52)52x
500
Camilla puts $4,208.00 into an account to use for school expenses. The account earns 9% interest, compounded weekly. How much would Camilla have in 3 years?
$5511.04