1 V.RAMYA

2

3 Blaise Pascal, a famous French Mathematician and Philosopher).

4 V.RAMYA

One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher). To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together. 5 V.RAMYA

6

7

8

9

10 V.RAMYA

11 V.RAMYA

12 V.RAMYA

13 V.RAMYA

14 V.RAMYA

The sum of the numbers in any row is equal to 2 to the n th power or 2 n, when n is the number of the row. For example: 2 0 = = 1+1 = = = = = = = V.RAMYA

16 V.RAMYA

The hockey stick pattern of Pascal's triangle shows sums of numbers in the triangle that appear as hockey sticks. The numbers descend in a slanted format at first, then it slants to form the shape of a hockey stick where the number in the slanted portion is the sum of the numbers that descended diagonally. 17 V.RAMYA

18 V.RAMYA

19 V.RAMYA

20 V.RAMYA

Using the original orientation of Pascal’s Triangle, shade in all the odd numbers and you’ll get a picture that looks similar to the famous fractal Sierpinski Triangle. Sierpinski Triangle. 21 V.RAMYA

22

V.RAMYA23

24 V.RAMYA

25 V.RAMYA

26 V.RAMYA

27 V.RAMYA

28 V.RAMYA

29 V.RAMYA

30

31 V.RAMYA

32 V.RAMYA