Vocabulary
A sequence that has a constant difference between consecutive terms.
What is a Arithmetic sequence?
Identify if this is a Arithmetic (linear)Sequence.
x y
1 12
2 15
3 17
4 20
5 22
What is no?
Write the first 4 terms of the geometric sequence.
an = 112( 1/2 ) ^n
What is 56, 28, 14, 7?
Tell me which pair is the Y-Intercept in the Table.
x y
-2 -7
-1 -4
0 -1
1 2
2 5
What is the pair 0 and -1?
If the table represents an exponential function, write the common ratio.
x y
0 240
1 360
2 540
3 810
What is 1.5?
A sequence that has a constant ratio between consecutive terms (multiplying by the same number every time).
What is an Geometric Sequence?
Identify if this is a Arithmetic (linear) Sequence.
x y
1 11
2 22
3 37
4 56
5 79
What is no?
State whether the table represents an Geometric (exponential) sequence or no.
x y
0 240
1 360
2 540
3 810
What is exponential?
The following is a linear equation:
an=3250-75n
Tell me what the Finite Difference of this equation is.
What is -75?
If the table represents an exponential function, write the function relating the variables.
x y
0 240
1 360
2 540
3 810
What is y = 240(1.5)x
What is the y-value when x=0?
What is the Y-Intercept?
Identify if this is a Arithmetic (linear) or Geometric (exponential) Sequence.
x y
-1 -8
0 -5
1 -2
2 1
3 4
4 7
What is Arithmetic?
Determine whether the table shows an Arithmetic (linear) or geometric (exponential) sequence.
x y
1 12
2 36
3 108
4 324
5 976
What is Geometric?
D'Ann received a gift card to her favorite fast food restaurant. The table shows how much remains on her gift card after each purchase.
Purchase (x) 0 1 2 3 4
Amount Remaining(y) 25 21.93 17.94 12.79 9
Approximate the Average Finite Difference.
What is -4?
Kelli bought a new car in 2015. She wants to sell it seven years after purchase, and she knows its value will depreciate over time.
t(years) 1 2 3 4
v(t) (dollars) $19800 $16830 $14305.5 12159.68
Use the data in the table to find the Average Common Ratio.
What is 0.85?
The number added (or subtracted) to each term to get the next term.
What is the Finite (Common) Difference?
Identify if this is a Arithmetic (linear) or Geometric (exponential) Sequence.
x -2 -1 0 1 2
y 9 5 1 -3 -7
What is Yes?
Determine whether the table represents an geometric (exponential) or Arithmetic (linear) sequence and explain why.
x 5 6 7 8 9
y 59.05 53.14 47.83 43.05 38.74
What is The table represents an geometric sequence because its common ratios are approximately constant.
D'Ann received a gift card to her favorite fast food restaurant. The table shows how much remains on her gift card after each purchase.
Purchase (x) 0 1 2 3 4
Amount Remaining(y) 25 21.93 17.94 12.79 9
Write the Linear function that best models the situation.
What is y=-4x+25
Kelli bought a new car in 2015. She wants to sell it seven years after purchase, and she knows its value will depreciate over time.
t(years) 1 2 3 4
v(t) (dollars) $19800 $16830 $14305.5 12159.68
Use the data in the table to find the value of the car in 2015 (year 0), then use it to generate a function that models the situation.
What is v(0) = 23,294.12 : v(t) = 23,294.12(0.85)t?
The number that is multiplied each time.
What is the Common Ratio?
Use the following numbers to create a table showing an Arithmetic (linear) Sequence. Begin your x column with 0 and make your y values decrease.
-15, -8, -1, 0, 1, 2, 3, 4, 6, 13
x y
0 13
1 6
2 -1
3 -8
4 -15
Juan’s parents tell him he can choose one of two ways to earn his allowance during the school year. He can either: a) receive $2 in September, $4 in October, $8 in November and so on, doubling the amount he receives each month; or b) receive $50 in September, $60 in October, $70 in November and so on, increasing his monthly allowance by $10 each month. Tell us which allowance plan would allow him to earn more after 10 months and what type of sequence does it show.
What is Plan A and Geometric.
Write the equation for the following table.
x -2 -1 0 1 2
y 9 5 1 -3 -7
What is y=-4x+1?
Juan’s parents tell him he can choose one of two ways to earn his allowance during the school year. He can either: a) receive $2 in September, $4 in October, $8 in November and so on, doubling the amount he receives each month; or b) receive $50 in September, $60 in October, $70 in November and so on, increasing his monthly allowance by $10 each month. Find the function for plan A.
What is f(x)= 1(2)x?