Virahāṅka Numbers:
There is a famous sequence of numbers:
\(1\), \(2\), \(3\), \(5\), \(8\), \(13\), \(21\), ...
Each number is obtained by adding preceding two numbers.
For example, \(2 + 3 = 5\); \(3 + 5 = 8\).
Origin:
These numbers were first studied in India by Virahāṅka (7th century CE) while exploring poetry rhythms.
Later, the Italian mathematician Fibonacci (\(1202 \ CE\)) introduced the same sequence to Europe through his famous book Liber Abaci.
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Rules to remember:
- Start with \(1\) and \(2\).
- Keep adding the previous two numbers.
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\(1\), \(2\), \(3\), \(5\), \(8\), \(13\), \(21\), ...