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You are here: Home / What is Vedic Mathematics / Solving Equations/Expressions / (cont.) Equattions 3

(cont.) Equattions 3

August 16, 2013 by Rahul Bhangale Leave a Comment

Paravartya

As seen before Paravartya Sutra of Vedic Mathematics means ‘Transpose and Apply’.

Prerequisites:

Equation should be in following manner.

vedicmathequation1-jpg
As can be seen Numerator is obtained by addition of each term multiplied by absent term with sign reversed(Transpose).

Examples:

vedicmathequation1-jpg

vedicmathequation1-jpg

 

Sopantyadvavyamantyam

Sanskrit Name:

सोपान्त्यद्वयमन्त्यं

English Translation:

The Ultimate and twice the penultimate.

Meaning:

If Equations are in the below form then 2C(penultimate) + D(ultimate) = 0

vedicmathequation1-jpg

Examples:

vedicmathequation1-jpg

Antyayoreva

Sanskrit Name:

अन्त्ययोरेव​

Meaning

It has different meaning in different context.

Contexts

Context1
Equations present in following manner
vedicmathequation1-jpg
Examples:
vedicmathequation1-jpg

 

Context2

Meaning:
Sum of the series is a fraction whose numerator is sum of the numerators in the series and whose denominator is the product of the 2 ends i.e. 1st and last binomials.

Equations present in following manner

vedicmathequation1-jpg
Examples:
vedicmathequation1-jpg
vedicmathequation1-jpg

Context3

This type is very similar to that of Conext2 only difference in the numerator of each term.
Numerator is equal to difference between the binomial factors of its denominator.

vedicmathequation1-jpg
vedicmathequation1-jpg

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