To show the portion, p, that each guest receives you will write the following equation.
p = 1/8
This equation shows One whole sandwich being broken into eight groups of the same portion. The answer is 1/8 of a sandwich.
Answer: Close. Your observation is correct. When you see that the difference between two numbers in the sequence is a perfect square, you are looking at a pyramidal sequence
1² = <u>1 </u> top of pyramid
1 + 2² = <u>5</u> total in top 2 layers
1 + 2² + 3² = <u>14</u> total in top 3 layers
1 + 2² + 3² + 4² = <u>30</u> total in the top 4 layers.
1 + 2² + 3² + 4² + 5² = <u>55</u> total in the top 5 layers.
Layer 6 is 6² more, 91
Layer 7 is 7² more so, 140
I think you got it.
Step-by-step explanation: The numbers are like when you keep adding the layers in a pyramid, and the next number is the total of the previous layers plus the square of the next layer number.
It's not an irrational number because the decimal is repeating. If it went on forever and never repeated then it would be an irrational number.
I think the error is that Richie thought for a number to be irrational, it just needed to repeat forever.
