1. Lesson 3

1.6. Explore 2

Mathematics 20-1 Module 1

Module 1: Sequences and Series

 

Try This 2

 

Retrieve the strategy you developed in Share 1 to find the number of people in n levels of a pyramid. How is this question similar to the problem posed to young Gauss? In Try This 2 you will see how Gauss saw the problem and how you can develop a way to solve similar problems.

 

Step 1: Print a copy of Human Pyramid.

 

Step 2: Use scissors to cut a triangle around each pyramid. Be sure to cut as close to the figures as you can without cutting off an arm or a head!


 

internet search

Step 3: Arrange the two pyramids (or triangles) into the shape of a parallelogram so that all figures are visible. Not sure what a parallelogram is? Search the Internet for an image of a parallelogram.

  1. How many people are in each row of the parallelogram?

  2. How many rows are there in the parallelogram?

  3. Use your answers from questions 1 and 2 to determine the number of people in one pyramid.

  4. Use this new method to calculate the number of people required for a 100-row pyramid. Compare this answer to the one you calculated in Share 1. hint
course folder Save your responses in your course folder.

Did you find that there are 5050 people in a 100-level pyramid? If so, your understanding has a strong base!