56 Toothpicks = 2n+1 57 Toothpicks = 3n+1 58 Toothpicks = 4n+1 59 Black tiles = 60 Rhombuses = n^2 (n^2)+n White tiles = 4n+4 Patterns 61 – 80 Cups = 61 Pennies = 2^(n-1) 62 Pennies = 3^(n-1) 63 Pennies = 4n 64 Pennies = 5n+5 65 [(n^2)+n]/2 66 Dice = 4n+2 67 Squares coming out 68 Blue rhombuses = 69 Yellow hexagons 70 Squares = = 2n+2 (n^2)+n+1 = n^2 Total = Rhombuses = n-1 (n^2)+0.5n 71 Cubes in row r, column 72 Orange squares = 73 Value of coins = 0.4n 74 Coins = 2n+1 75 Dots = 4n c = [[(r^2)+3r+2]/2] * (8n^2)+4n+1 2^(c-1) Total = (16n^2)+8n+1
56 Toothpicks = 2n+1 57 Toothpicks = 3n+1 58 Toothpicks = 4n+1 59 Black tiles = n^2 White tiles = 4n+4 60 Rhombuses = (n^2)+n Patterns 61 – 80 61 Pennies = 2^(n-1) 62 Pennies = 3^(n-1) 63 Pennies = 4n 64 Pennies = 5n+5 65 Cups = [(n^2)+n]/2 66 Dice = 4n+2 67 Squares coming out = 2n+2 68 Blue rhombuses = (n^2)+n+1 69 Yellow hexagons = n^2 Total = (n^2)+0.5n 70 Squares = Rhombuses = n-1 71 Cubes in row r, column c = [[(r^2)+3r+2]/2] * 2^(c-1) 72 Orange squares = (8n^2)+4n+1 Total = (16n^2)+8n+1 73 Value of coins = 0.4n 74 Coins = 2n+1 75 Dots = 4n
Equations-KEY-new.docx