Patterns and Tables :
Patterns and Tables Tables are used to represent and describe patterns.
Making a table is often the easiest way to organize data.
Often you can make a table as your first step in solving a problem.
Representing a Pattern :
Representing a Pattern The table below shows the cost for different quantities of cheese. Find the cost of 20 lb of cheese. The values in the second column are 6.5 times the values in the first column. To find the cost of 20 lb of cheese, multiply 20 by 6.5 The cost of 20 lb of cheese is $130.
Finding the Value of a Term :
Finding the Value of a Term Multiple Choice
Which sequence follows the rule:
-3n + 5, where n represents the position of a term in a sequence? 2, -1, -4, -7 … c. -3, -6, -9, -12 ...
2, 1, 4, 7 ... d. 8, 11, 14, 17 ... The correct answer is choice A. Substitute 1, 2, 3, and 4 for n.
Using a table with a Sequence :
Using a table with a Sequence Write an expression to describe the sequence 8, 16, 24, 32...
Then find the 10th term in the sequence. 8
position 1 16
position 2 24
position 3 32
position 4 ...
and so on Make a table that pairs the position of each term with its value. Let n = the term number. You can write the expression n8 or 8n. The relationship is Multiply the term number by 8. n 8 = 10 8 = 80 Substitute 10 for n to find the 10th term.