Advanced Patterns
Discover the beauty of recurring decimals and magic squares.
Core Concepts
Mathematics is full of beautiful patterns. Vedic Math helps us see them clearly.
Cyclic Numbers (1/7)
The fraction 1/7 creates a cycle: 142857.
• 1/7 = 0.142857...
• 2/7 = 0.285714... (starts at 2)
• 3/7 = 0.428571... (starts at 4)
Magic Squares
A grid where every row, column, and diagonal adds up to the same number.
For a 3x3 grid with numbers 1-9, the sum is always 15.
Solved Examples
Example 1: 1/11 Pattern
• 1/11 = 0.090909...
• 2/11 = 0.181818... (2 × 09)
• 3/11 = 0.272727... (3 × 09)
• Easy to predict!
Example 2: 111 × 111
• Count up to the number of 1s, then down.
• 3 ones.
• 1 - 2 - 3 - 2 - 1.
• Answer: 12321.
