Question

If the parents of your mom and dad are your lolos and lolas of the first degree, and the parents of your lolos and lolas are your lolos and lolas of the second degree, and so on, how many lolos and lolas do you have up until the 6th degree?

Please provide a solution, either by listing them or using a formula.

Answer 1

To calculate the total number of lolos and lolas up until the 6th degree, you use a geometric series formula, which results in 2 + 4 + 8 + 16 + 32 + 64, equaling 126 lolos and lolas.

Step-by-step explanation:

The question involves calculating how many ancestors one has at different generational levels, using a pattern based on powers of 2. Each higher degree doubles the number of lolos and lolas because each person has two parents. To calculate the total number of lolos and lolas up until the 6th degree, we use the formula for the sum of a geometric series:

Total ancestors = 21 + 22 + 23 + 24 + 25 + 26

This simplifies to:

Total ancestors = 2 + 4 + 8 + 16 + 32 + 64 = 126

Therefore, you would have 126 lolos and lolas from the 1st to the 6th degree.