Practical tools for measured work
Sequence calculator
Test arithmetic or geometric sequences and calculate an nth term from supplied values.
Calculate the layout, check the diagram, then print the result for the shop or jobsite.
These rules fit the supplied terms; a finite list does not prove a unique continuation.
Differences between supplied terms
| Term number n | Value | Difference from previous |
|---|---|---|
| 1 | 2 | - |
| 2 | 5 | 3 |
| 3 | 8 | 3 |
How it works
An arithmetic sequence has a constant difference d: a(n) = a(1) + (n−1)d. A geometric sequence has a constant ratio r: a(n) = a(1)r^(n−1). The terms 2, 5, 8 have d=3, so the tenth term is 29. Constant nonzero sequences satisfy both rules.
Current-input example
The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.
- Known sequence terms
- 2,5,8
- Term number n
- 10
Primary result: Arithmetic sequence: Yes.
Before using the result
- Check the selected mode, units and input values before using the result.
- Read the assumptions and rounding rules; compare the worked example with your intended calculation.
- A numerical result does not supply missing context or change the stated limitations.
Limitations
Enter 3–100 numbers separated by commas or spaces, and an integer term index from 1–100000. Comparisons allow relative rounding tolerance of 1e−9. No polynomial or arbitrary-pattern rule is inferred. For a multiple-choice question, enter each offered sequence to compare; absent choices cannot be identified.
Frequently asked questions
What should I verify before using this result?
Check the input values, units, dates and assumptions. Compare the method and its stated limits with the source relevant to your task.
Why might the finished result differ?
Results depend on the entered data and the model’s assumptions. Rounding, changing conditions or omitted factors can affect the comparison. Read the limitations before using the result.
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