सोपान्त्यद्वयमन्त्यम् — Sopaantyadvayamantyam
The ultimate and twice the penultimate. In certain sum-of-fractions equations, the answer combines the last and second-to-last terms in a specific ratio.
Why it works: For equations of the form 1/(a×b) + 1/(b×c) + ... + 1/(x×y) = result, the Vedic pattern recognizes the telescoping nature and the role of the last pair.
Speed advantage: Direct pattern application vs. full fraction addition.
Best for
- Special fraction equations
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Originally published at https://www.sutraflow.app/sutras/sopaantyadvayamantyam
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