Completing Number Patterns

University:
College
Course:
College Mathematics
Academic year:

2023
Views:

200

Pages:

2
Author:

J. Lay

Completing Number Patterns The first step in Completing a number Pottern is to identify it. Then, work From the right to the left, Filling in the highest order differences First and working back wards (left) to complete the table. Below are two example. Example 1 Consider the example the sequences OF Six numbers which are provided to the student. You are asked to find the ninth term of each sequence. Step 1 create a table Of differences. Take Successive differences until you get a column Of Constant differences (example1) or a Column that appears to perek a previous Column of differences (example 2). Step 2. In the last Column of difrenone you created, continue the Constant differences (example 1) or the repeated differences (examples) down the table. Create as many entries as you will need to solve the Problem. For example, if you are given given 6terms and asked to find the 9th term, you will need 2(=9-6) additional entries in the last column. DAAN Step 3 Work backwards (From right to (eft), Filling in each Column byadding. the differences in the column to be The Final answers to the exam ple are the ninth item in each. sequance, the item bold red. In the example to the left, the calculations are performed in the Following order. Column 4² 30+6=36;36+6-42;9246-48 Column 4 91456=127; 127+42=169;169+48=217 A • column n:219+127:391; 3414 169: 510; 610+217-727