MAC 1147 In-Class Activity 9. Finally, find the value 1 1 1 47 42 + 43 + 44 + ... by taking the infinite sum in Problem 8 along with the fact that the sum of the areas of the red squares, the sum of the areas of the blue squares, and the sum of the areas of the green squares are equal. 7MAC 1147 In-Class Activity 7. Based upon Square 2, what is the sum of the areas of the red squares in proportion to the total area of Square 2 (that is, the area represented by all the red, blue, and green regions put together)? 8. Write out the sum of the areas of the red squares in Square 2 as an infinite sum. Use the numbers given along the sides of Square 2 to help determine the dimensions of each red square. 6MAC 1147 In-Class Activity Part 3: Hard & Challenge Problems Complete as much of Problems 6-9 as possible. Answers and information presented in Parts 1 & 2 may not be copied to answer the problems below, but you may utilize previous answers and problems as hints. Good luck! For the following problems you will need the image shown below. We will call these two overall squares (composed of the smaller red, blue, and green squares) Square 1 and Square 2 for convenience. 6. Explain in your own words how you know that in both of the large squares Square 1 & Square 2 above, that the sum of the areas of the red squares, the sum of the areas of the blue squares, and the sum of the areas of the green squares are equal