To find a linear sequence, follow these simple steps using a whiteboard and markers as suggested by the provided reference:
Here's a step-by-step guide based on the reference material:
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Write out the sequence: Begin by writing down the given sequence of numbers on your whiteboard. This is the first crucial step.
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Look for the common difference: Identify the common difference between consecutive terms in the sequence.
- Calculate the difference between the second and first term, the third and second term, and so on.
- If the difference is constant, you've found the common difference.
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Use the common difference to find the next number: Once you have the common difference, you can determine subsequent terms in the sequence.
- Add the common difference to the last known term to find the next term.
Example:
Let’s say you have the sequence: 2, 4, 6, 8, ...
| Step | Action | Result |
|---|---|---|
| 1 | Write out the sequence. | 2, 4, 6, 8, ... |
| 2 | Find the common difference. | 4-2 = 2, 6-4 = 2 |
| Common difference = 2 | ||
| 3 | Find the next number in the sequence. | 8 + 2 = 10 |
Therefore, the next number in the sequence is 10.
