Explain It. What do you need to do to extend a pattern?
You need to figure out the pattern that's given you.
http://www.mathsisfun.com/numberpatterns.html
To extend a pattern, you need to identify the recurring elements or rules that form the pattern and continue the sequence in a logical and consistent manner. Here are some steps you can follow:
1. Identify the existing pattern: Look for any repetitive elements or rules present in the given pattern. For example, if the pattern is a sequence of numbers, observe if there is an increment or decrement in each number, or if there are any mathematical operations being performed.
2. Analyze the pattern: Once you have identified the existing elements or rules, analyze how they are related to each other. Look for any patterns within the pattern itself. Pay attention to the position, value, or order of the elements.
3. Predict the next element: Based on your analysis, predict the next element in the pattern by applying the identified rule or logic. This step requires careful observation and logical reasoning. It can sometimes be helpful to consider multiple possible patterns or rules.
4. Check your prediction: After predicting the next element, validate your prediction by comparing it to the original pattern. Ensure that your predicted element fits logically with the previous elements and follows the established pattern.
5. Extend the pattern: Once you are confident in your prediction, continue the pattern by adding the next element. This step involves applying the same rule or logic identified earlier to generate further elements. Repeat this process until you have extended the pattern as far as required.
Remember, extending patterns may sometimes involve multiple possible solutions or require making assumptions based on limited information. It is important to consider alternative patterns and rules if the given pattern is ambiguous or incomplete.