Common Difference
Find the nth term
Word Problems
Linear or Nonlinear
Vocab
100
What variable is associated with common difference
d
100
If the first term of an arithmetic sequence is 7 and the common difference is -2, this is the 5th term.
-1
100
Using the following arithmetic sequence, find the 7th term.
-100, -50, 0, 50,...
a7 = 200
100
Linear or nonlinear?
Linear
100
Domain, Input, Independent are associated with what variable?
X (recall, if the word "in" is there it's part of x)
150
Find the common difference of the following arithmetic sequence.
-7, -14, -21, -28, ...
d = -7
150
Using the following arithmetic sequence, find the 10th term.
-16, -25, -34, -43, -52
a10 = -97
150
You are saving money to buy a video game. You start by saving $5 in the first week, and add 3$ every succeeding week. How much money will you have saved after 6 weeks?
$20
150
Linear or nonlinear?
Nonlinear
150
Range, Output, and Dependent are words associated with what variable?
y
200
Find the common difference of the following arithmetic sequence.
175, 150, 125, 100, ...
d = -25
200
Using the following arithmetic sequence, find the 15th term.
-3, -8, -13, -18, ....
a15 = -73
200
A theatre has 20 seats in the first row. Each row has 3 more seats than the previous row. How many seats are in the 8th row?
41 seats
200
Is this a linear or nonlinear function? How do you know?
Linear. There is a constant rate of change.
200
What is the formula used to find the nth term of an arithmetic sequence?
an= a1 + (n - 1)d
250
Find the common difference of the following arithmetic sequence.
-16.45, -7.45, 2.45, 11.45
d = 9
250
What is the 26th pattern?
a26 = 106
250
A bricklayer lays 15 bricks in the first row of a wall, 18 bricks in the second row, 21 bricks in the third row, and so on. How many bricks will be in the 12th row?
48 bricks
250
Linear or nonlinear and why?
y=x2+4x-7
Nonlinear because x is being raised to the second power.
250
Is the table a function? Explain.
X | Y
-3 | 3
-2 | -2
0 | 1
0 | 2
1 | 5
No, the input 0 has two outputs, 1 and 2.
300
Find the common difference of the following arithmetic sequence.
6.5, 5, 3.5, 2, ...
d = -1.5
300
You plant a bean sprout that is 2 inches tall. It grows 1 inch taller each day. How tall will the plant be after 7 days?
9in
300
A staircase has 12 steps. The first step is 6 inches high, the second step is 8 inches high, and the third step is 10 inches high. What is the total height of the staircase?
28 inches
300
Consider the table below. Does it represent a linear or nonlinear function?
nonlinear function, Rate of Change is not constant
300
Is this relation a function? Explain why or why not.
No. the x value 5 gives you both -1 and -3.