PASCAL’S TRIANGLE 1 1 1 Blaise Pascal was a scientist and mathematician who found interesting patterns in the triangle you see 1 2 1 right here. Pascal’s triangle is a table of binomial coefficients, which means that 1 3 3 1 multiples of 2 each cell (here shaped like hexagons) is the sum of the two cells above it. In theory, this 4 1 1 triangle has only two sides and no base because it extends downward to infinity! 5 1 1 6 1 15 1 6 4 6+4= 7 1 1 35 10 10 multiples of 3 70 1 1 You can complete the rest of the 1 1 triangle using simple addition, as demonstrated above. Once 1 252 1 you have completed that, try your hand at filling in 1 1 some patterns. Choose either multiples of 4, 924 or multiples of 5, and 1 1 color the cells that hold those multiples. 1 1 715 3432 Do you think all 1 1 multiples will form a pattern? 1 1 1
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