MATHEMATICS SHORT TRICKS FOR Numerology Problems Part 1
Natural numbers
Sum of natural numbers = n (n + 1) / 2
The sum of the classes of natural numbers = n (n + 1) (2n + 1) / 6
The sum of the times of natural numbers = n² (n + 1) ² / 4
Natural three consecutive numbers = x, x + 1, x + 2
Even number
Sum of equals = n (n + 2) / 4
Sum of classes of even numbers
= 4 (n / 2 (n / 2 + 1) (n + 1) / 6
Even three consecutive numbers = x, x + 2, x + 4
odd number
Sum of odd numbers = (n + 1/2) ²
Prime number
Who does not cut off any of his
Example - 2, 3, 5, 7, 11 --------
Question 1 - In the three numbers, the ratio of 2: 3: 5 is that the sum of their classes is 152, then what is the sum of those numbers?
Solve - Addition of Classes
⁽2x⁾² + ⁽3X⁾² + ⁽5X⁾² = 152
38x² = 152
X² = 152/38
X² = 4
X = 2
So obtained number 2x = 4
3x = 6
5X = 10
Total = 4 + 6 + 10 = 20 ans
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