Question

What happens to the total number of coins with each Round? (Can you identify any pattern? If so, what is the pattern?) [totals: 106, 41, 17, 7, 1, 1, 1]

Answer 1

Answer: 1

Step-by-step explanation:

1. The total number of coins decreases with each round.

2. The decrease follows a specific pattern:

- In each round, the total number of coins is approximately divided by 4.

- After several rounds, the total number of coins reaches 1 and remains the same in the subsequent rounds.

So, the pattern observed is a gradual decrease in the total number of coins with each round, with the decrease approximating a division by 4 until it reaches 1, where it remains constant.

Answer 2

The pattern of the total number of coins with each round appears to follow a specific sequence. Let's analyze it:

Starting with the given totals: 106, 41, 17, 7, 1, 1, 1

If we observe the change between consecutive rounds, we can see the pattern:

. 106 - 41 = 65

. 41 - 17 = 24

. 17 - 7 = 10

. 7 - 1 = 6

. 1 - 1 = 0

. 1 - 1 = 0

The pattern is that in each round, the total number of coins decreases by a certain amount. The difference between consecutive rounds is decreasing by a constant value of 6.

So, the pattern is a linear sequence where each round decreases the total number of coins by 6.