Patterns
What is the term for a list of numbers, figures, or symbols that follow a rule?
Pattern
What do we call an ordered arrangement of terms that make up a pattern?
Sequence
Determine the nth term of the sequence
49, 44, 39, 34, 29, ...
An = -5n + 54
Evaluate: the summation of d2 + 1 where d starts with -2 and ends with 2
= 15
What is the term for something that every pattern needs and that describes the relationship between the numbers or objects?
Rule
Determine the nth term of the sequence
1/3, 1/4, 1/5, 1/6, ...
An = 1/(n + 2)
Write the series in summation notation
-15 - 9 - 3 + 3 + ,.. +39
The summation of 6n - 21 where n starts with 1 and ends with 10
An = 8n - 3
5, __, __, __, __
What are the next four terms in this sequence?
13, 21, 29, 37
Write the first five terms of the sequence defined by the functional notation F(n) = (-1)n(2n)
-2, 4, -8, 16, -32
Find the indicated value of the series
17 + 13 + 9 + 5 , ... S10
S10 = -10
256, -64, 16, -4, 1, ...
What is A9?
A9 = 1/256
What is the nth term or general term of the sequence
5, 12, 19, 26, ... ?
An = 7n - 2
Write the series in summation notation.
4/3 + 5/4 + 6/5 + 7/6 + 8/7
The summation of (k+1)/k where k starts with 3 and ends with 7.
Franko practices basketball everyday in his driveway. Each day, his goal is to make 4 more baskets than he had made the day before. If he makes 10 baskets on the first day how many baskets will he make on the 7th day?
34 baskets
On Monday, a toy store sold 4 race cars. On Tuesday, it sold 8 race cars. On Wednesday it sold 16 race cars.
a. Determine the nth term.
b. If the pattern continues, how many race cars will be sold on Friday?
a. An = 4(2)n-1
b. 64 race cars
Determine the nth term of the sequence
2/3, 1/3, 2/9, 1/6, ...
An = 2/3n
Write the summation notation in series
The summation of (2n3an+1) where n = 1 and ends with 4.
= 2a2 + 16a3 + 54a4 +128a5