Arithmetic Sequences
Geometric Sequences
Missing Terms
Word Problems
PEMDAS/Random
100
an = a1 + (n-1) (d)
What is a1
What is d
What is n
a1 is the first term or starting value
n is the term number
d is the common difference
100
an = a1 (r)n-1
What is a1
What is r
What is n
a1 is the first term or starting value
n is the term number
r is the common ratio
100
What are the formulas to find the common difference and common ratio?
d= y2 - y1 / x2 - x1
r b = n
100
Zendaya is preparing for a new movie role and decides to track how many pages of her script she memorizes each day. On her first day of practice, Zendaya memorizes 12 pages. As she becomes more comfortable with the script, she memorizes 4 more pages each day.
Provide the explicit equation.
an = 12 + (n-1) (4)
100
Who teaches Math 2, Math 3 and AP PreCal/Calculus? (3 different teachers)
Math 2 - Ms. Diaz
Math 3 - Ms. Melendrez
AP PreCal and AP Calculus - Mr. G
200
an = -67 + (n-1) (76)
What is the first term or starting value?
What is the common difference?
a1 = -67
d= +76
200
an = -22 (22)n-1
What is the first term or starting value?
What is the common ratio?
a1=-22
r=22
200
Find the missing terms in the arithmetic sequence.
x y
1 32
2 ?
3 ?
4 ?
5 80
44, 56, 68
200
BTS is preparing for a major concert tour and decides to track how many minutes they spend rehearsing each day. On the first day of rehearsal, they practice for 180 minutes. As the group becomes more confident with the choreography, they reduce their rehearsal time by 10 minutes each day.
Provide the explicit equation.
an = 180 + (n-1) (-10)
200
What are the three most traveled to (visited) European countries?
France, Spain and Italy
300
Write the explicit equation
an = -3 + (n-1) (-6)
300
What is the explicit equation
an = -2 (5)n-1
300
Find the missing terms in the arithmetic sequence.
x y
1 25
2 ?
3 ?
4 ?
5 -53
5.5, -14, -33.5
300
Aaralyn loves mocha drinks and decides to help her friend Camila open a small coffee shop called Mocha Madness. She invests $12,000 into the business to help purchase a new espresso machine and other equipment.
Over the next several years, the investment performs extremely well, increasing in value by 15% each year as the coffee shop gains more customers and generates more revenue.
Assume the first term of the sequence occurs at t=0 years.
Write the explicit equation?
an = 12,000 (1.15)n-1
300
What is Mr.Santacruz's favorite Bad Bunny album?
Debi tirar mas fotos (DtMF)
400
Write the explicit equation
an = 1.2 + (n-1) (2.3)
400
184, 46, 11.5, 2.875
Write the explicit equation for this geometric sequence
an = 184 (0.25)n-1
or
an = 184 (1/4)n-1
400
Find the missing terms in the geometric sequence.
x y
1 4
2 ?
3 ?
4 864
24, 144
400
Antonella notices her friend Sophia has a habit of ghosting people and decides to track how many people Sophia responds to each month. At the beginning of the year, she was responding to 800 messages per month.
As Sophia becomes busier and starts ghosting more people, the number of messages she responds to decreases by 25% each month.
Assume the first term of the sequence occurs at t=0 months.
Write the explicit equation
an = 800 (0.75)n-1
400
24
500
-100, -75, -50
What is the 25th term equal to?
The 25th term is 500
500
2, 16, 128
What is the 9th term equal to?
33,554,432 or 33.5 Million
500
Find the missing terms in the geometric sequence.
x y
1 8
2 ?
3 ?
4 ?
5 52,488
72, 648, 5832
and
-72, 648, -5832
500
Amy and Fernanda love shopping and decide to track how much money they spend on clothes and accessories each time they go shopping. On their first shopping trip, they spend $40. On their second trip, they spend $60. On their third trip, they spend $90. Assume the amount they spend continues to increase at the same rate each trip.
Provide an explicit equation, and state how much money Amy and Fernanda will spend on their 11th shopping trip.
an = 40 (1.5)n-1
They will have spent $2306 dollars shopping on their 11th trip.
500
-3/4 or -0.75