![TRIANGULAR NUMBERS
• The triangular numbers are formed by partial sum of the series 1 + 2 + 3 + 4 + 5 + 6
+ 7. ... + n (2). In other words, triangular numbers are those counting numbers
that can be written as = 1 + 2 + 3 + ... + n.
[T.sub.1] = 1
[T.sub.2] = 1 + 2=3
[T.sub.3] = 1+2+3=6
[T.sub.4] = 1 + 2 + 3 + 4 = 10
[T.sub.5] = 1 + 2 + 3 + 4 + 5 = 15](https://image.slidesharecdn.com/triangularnumbers-120201075415-phpapp01/85/Triangular-numbers-2-320.jpg)
Triangular numbers
- 1. TRIANGULAR NUMBERS AND PASCAL
- 2. TRIANGULAR NUMBERS • The triangular numbers are formed by partial sum of the series 1 + 2 + 3 + 4 + 5 + 6 + 7. ... + n (2). In other words, triangular numbers are those counting numbers that can be written as = 1 + 2 + 3 + ... + n. [T.sub.1] = 1 [T.sub.2] = 1 + 2=3 [T.sub.3] = 1+2+3=6 [T.sub.4] = 1 + 2 + 3 + 4 = 10 [T.sub.5] = 1 + 2 + 3 + 4 + 5 = 15
- 3. A triangular number is the number of dots in an equilateral triangle evenly filled with dots A triangle number is, equivalently, the sum of the n natural numbers from 1 to n. .
- 4. You can express the triangular numbers as binomial coefficients Pascal's triangle makes a contribution to many fields of the number theory. The red numbers are ... ... triangle numbers. You even can find the sum of the triangular numbers easily. Example: 1+3+6+10+15=35
- 5. INTERESTING FINDING Even and odd triangular numbers . Theeven triangular numbers in red and odd numbers in black form pairs in the usual sequence
- 6. - END - THANK YOU