Number Patterns and Pattern Rules

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The table shows the input/output from a machine. Write the number and operation for the machine. Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252

Divide by 3

The table shows the input/output from a machine. Write the Pattern rule for the output numbers Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252

First term is 1152 and add 25

Input/output machine Input (divide by 4) Output 40 36 32 28 24 20 16

10 9 8 7 6 5 4

Predict how many books 10 boxes will hold.

10 x 15 = 150

Write the next 4 terms in each pattern. Write each pattern rule. b) 36, 72, 144, 288, 576, ___, ___, ___, ___ Pattern Rule is:

1152, 2304, 4608, 9216 Multiply by 2

Write the next five terms in each pattern: 3,4,6,9,13,___,___,___,___,___

18, 24, 31, 39, 48

One box holds 15 books. How many books will 2 boxes hold? 3 boxes? 4 boxes? Make a table.

2 boxes hold 30 books. 3 boxes hold 45 books. 4 boxes whole 60 books.

Write the next five terms in each pattern: 16, 19, 17, 20, 18, ___,___,___,___,___

21, 19, 22, 20, 23

Write the next 4 terms in each pattern. Write each pattern rule. b) 3, 9, 27, 81, ___, ___, ___, ___ Pattern Rule is:

243, 729, 2187, 6561 Multiply by 3

Input/output machine Input (+8) Output 17 16 15 14 13 12 11

25 24 23 22 21 20 19

Complete the tables for this input/output machine. Input (+12) Output 305 310 315 320 325

317 322 327 332 337

Write the next five terms in each pattern: 25,29,30,34,35,___,___,___,___,___

39, 40, 44, 45, 49

Write the first 4 terms of each Pattern. First term is six. Rule: add seven.

6, 13, 20, 27

Complete the tables for this input/output machine. Input (-11) Output 93 90 87 84 81

82 79 76 73 70

Look at the tables in question 16 and 17. Write the pattern rule for each group of terms. The output numbers in 16 The input numbers in question 17

1. First term 25 and subtract 1 2. First term 40 and subtract 4

Predict the cost of 10 tickets

$110

One concert ticket costs $11. Complete the table to find the cost of 7 tickets. Number of tickets Cost ($) 1 2 3 4

$77

The table shows the input/output from a machine. Write the Pattern rule for the input numbers Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252

Start at 3456 and add 75 each time


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