
(1) A regular triangle of side n is divided uniformly into regular
... (7) A cube of side n is divided uniformly into cubes of side 1. How many cubes are there in the picture? Hint: Use formula for (n + 1)4 inductively to calculate 1 + 23 + ... + n3 . (8) Find a formula for 12 − 22 + 32 − ... + (2n + 1)2 − (2n + 2)2 and calculate this when n = 100. Hint: Group them in ...
... (7) A cube of side n is divided uniformly into cubes of side 1. How many cubes are there in the picture? Hint: Use formula for (n + 1)4 inductively to calculate 1 + 23 + ... + n3 . (8) Find a formula for 12 − 22 + 32 − ... + (2n + 1)2 − (2n + 2)2 and calculate this when n = 100. Hint: Group them in ...
more similar polygons
... Find the correct answer for each of the following. Clearly circle/bubble in your answer where appropriate. Work must be shown in order to receive credit. 18. Which of the following statements is true? ...
... Find the correct answer for each of the following. Clearly circle/bubble in your answer where appropriate. Work must be shown in order to receive credit. 18. Which of the following statements is true? ...