Jadhav Triads
Jadhav Triads are groups of any 3 consecutive numbers which follow a pattern, was discovered by Jyotiraditya Jadhav and was named after him.
| Jadhav Triads | |
|---|---|
| Consecutive number pattern | |
| Definition | |
| If any 3 consecutive numbers are taken say a, b and c then the square root of the product of the first and third term will be approximately equal to the middle or 2nd term | |
| Details | |
| Indian Invention |
Statement
If any 3 consecutive numbers are taken say a, b and c then the square root of the product of the first and the third number will be approximately equal to the middle term or the 2nd term.
Variable format :
√ac ≈ b
√αγ ≈ δ
Practical observation
Let a = 5 , b = 6 and c = 7
so by √ac ≈ b ,
√5X7 = 5.9160797831 ≈ 6
Let a = 10 , b = 11 and c = 12
so by √ac ≈ b ,
√10X12 = 10.9544511501 ≈ 11
Applications
Can be used to find approximate square roots of the numbers which are also the product of numbers which 'differ by 2.
Notable Error
It is found that the square root of the product may differ by a maximum of 0.3 to a minimum of 0.1 from the actual middle number, but these units can be negligible unless talking about big units like meters and kilometers.
Other discoveries by Jyotiraditya Jadhav
read more about Jyotiraditya Jadhav here
