antya dhana

 In Sanskrit, antyadhana (antya-dhana) means the last term of an arithmetical or geometrical progression, a technical term used in classical Indian mathematics.

✅ Core Meaning

• Antyadhana (अन्त्यधन) is defined as “the last term of a series or progression”—especially in arithmetic or geometric progressions

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• It is a compound of antya (“last, final”) and dhana (“term, quantity, value”).
• Sanskrit dictionaries confirm: “the last member of an arithmetical series”

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📚 Usage in Classical Mathematics

The term appears prominently in the Gaṇitasāra-saṅgraha of Mahāvīra (9th century), a major Sanskrit text on algebra and arithmetic.
There, antyadhana is used in formulas describing how to compute the final term of a progression

Wisdom Library

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Example (from the text cited in the result):

• The increase multiplied by the number of periods minus one, added to the first term, gives the antyadhana, the last term

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🔍 Related Technical Terms

Classical Sanskrit mathematics uses a set of parallel terms:

• madhyadhana — the middle term of a progression

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• sarvadhana — the total sum of all terms

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• antyadhana — the final term
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These appear together in computational rules.

🧭 Broader Lexical Notes

• Marathi dictionaries also define antyadhana as “the last extreme of an A or G progression” (A = arithmetic, G = geometric)

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• General Sanskrit dictionaries list it simply as “the last term of a progression or series”

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✅ Summary

Antya-dhana / Antyadhana =
The final term in a mathematical progression, especially in traditional Sanskrit arithmetic and algebra.