Difference Table Generator

The Difference Table Generator predicts the next term in an integer number sequence and finds a formula for generating the sequence. This is done by building and displaying a difference table for your sequence. The arithmetic for constructing difference tables by hand can be tedious and even a small mistake will make the table useless. So let the Difference Table Generator build the table for you, or use it to check your work.

• Enter your own sequences
• Build difference tables
• Find nᵗʰ term formulas
• Custom keyboard for easy data entry
• Customize table colors
• Mail tables to others
• Save tables as pictures (can be used in other documents)

When working with an integer number sequence, such as 1, 9, 41, 109, common questions are: "What number comes next?" and "Is there a formula that generates the sequence?" One technique for answering these questions is to build a difference table; this is also called the method of successive differences. The Difference Table Generator automates this process. While this method cannot be used to predict every sequence, it does work for many sequences and is often used and studied in Mathematics classes. To be clear, difference tables are a very particular technique and only predict sequences that are polynomial in n. Such as, arithmetic sequences. However, difference tables do not predict other sequences such as geometric sequences which are exponential in n.

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