Pattern Rule & Sequence
12, 16, 20, 24, 28
What is the pattern rule?
Start at 12. Add 4 each time.
5, 10, 15, 20
What is the algebraic expression?
5x or 5n
What is the 25th term of this expression 2x + 10
60
What is the constant (the zero term) in this algebraic expression 2x-3?
-3
94, 74, 54, 34, 14
What is the pattern rule?
Start at 94. Subtract 20 each time.
4, 6, 8, 10
What is the algebraic expression?
2x + 2 or 2n + 2
295
What is the x intercept (when x is zero) for this equation y=4x+3
Coordinates ( , )
(0,3)
Start at 31. Add 9 each time.
What is the sequence?
31, 40, 49, 58, 67
2, 6, 10, 14
What is the algebraic expression?
4x - 2
Find the 7th term in this expression 8x - 15
41
What are the first 3 coordinates of the graph with this expression 2x -1? Start with (0, __)
(0,-1) (1,1) (2,3)
Start at 35 and subtract 7 each time.
What is the sequence?
35, 28, 21, 14
28, 21, 14, 7
What is the algebraic expression?
-7x + 35
Find the 0 term of this expression
-4x + 12
12
What is the algebraic expression of a graph with the following coordinates (0, 5) (1, 7) (2, 9)
2x + 5 Because the pattern grows by 2 (second number) and the zero term is 5 and if you try 2x2 + 5 you get the third coordinate (2,9)
47, 41, 35, 29, 23
What is the pattern rule?
Start at 47. Subtract 6 each time.
12, 4, -4, -12
What is the algebraic expression?
-8x + 20
What is the value of the 12th term of this expression -2x + 10
-14
What is the algebraic expression of a graph with these coordinates (2, 0) (4, 2) (6, 4) Look carefully here.
x -2 (I didn't give you the first terms and I jumped from the 2nd to 4th term. You had to find the first term by working backwards or looking at how to get from x to y)