Online Solver for Linear Recurrence Sequences
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http://herbert.gandraxa.com/herbert/lrs.asp
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<a href="http://herbert.gandraxa.com/herbert/lrs.asp">Online Solver for Linear Recurrence Sequences</a>
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Online Solver for Linear Recurrence Sequences
Scope
This tool solves Linear Recurrence Sequences, if you give it the sequence's first 3 numbers. It first lists the first 10 terms as per calculated function rule, and then presents the Closed Form formula for the linear recurrence sequence. All the math involved is displayed step by step.
Author
Herbert Glarner
Published
2007-Oct-24
External Links
Start of Sequence
Enter the first 3 elements of your sequence, then click on Submit. This tool accepts only integers, but the output will display decimals if required.
Example: Enter the 3 numbers 2, 4, and 5 and click on Submit. The tool will then
- give a rule to obtain the next number in the sequence (example: multiply by 0.5, then add 3);
- present the next numbers in the sequence (ex.: 5.5, 5.75 etc.);
- provide the closed form to calculate the nth element directly (ex.: xn = -4·0.5n-1 + 6).
For all of the above, the needed math is displayed step by step.
Should you notice an error, it would be very kind of you to tell me what 3 numbers caused a such: my mail address can be found above.
After clicking on Submit, this page will be displayed again, with the mathematics explained in the following section.
Solving
You must enter 3 different numbers as the start of your sequence.