Answer:
A.
Step-by-step explanation:
6^(1-1) + 6^(2-1) + 6^(3-1) + 6^(4-1)
= 1 + 6 + 36 + 216
= 259.
Answer:
670
Step-by-step explanation:
2003-814=1189
1189-519=670
Answer:
Part A:
![2^{40}-2\\=1.0995*10^{12} ancestors](https://tex.z-dn.net/?f=2%5E%7B40%7D-2%5C%5C%3D1.0995%2A10%5E%7B12%7D%20ancestors)
Part B:
Generations Age=25*39=975 years
Part C:
- Some ancestors on different branches of the family tree must be the same.
- There could not have been 39 generations in my line of ancestry.
Step-by-step explanation:
Given Data:
Two Parents, Four Grand Parents, Eight great Grand Parents.
Generation=39
Solution:
Part A:
From given data Following series is made:
![2+2^2+2^3+.........+2^{39}](https://tex.z-dn.net/?f=2%2B2%5E2%2B2%5E3%2B.........%2B2%5E%7B39%7D)
Now, Above series will become:
![2[1+2+2^2+......+2^{38}]](https://tex.z-dn.net/?f=2%5B1%2B2%2B2%5E2%2B......%2B2%5E%7B38%7D%5D)
From geometric Sequence:
![2[\frac{2^{38+1}-1}{2-1} ]](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B2%5E%7B38%2B1%7D-1%7D%7B2-1%7D%20%5D)
![2^{40}-2\\=1.0995*10^{12} ancestors](https://tex.z-dn.net/?f=2%5E%7B40%7D-2%5C%5C%3D1.0995%2A10%5E%7B12%7D%20ancestors)
Part B:
Generations Age=years*Number of generations
Generations Age=25*39=975 years
Part C:
Number of people lived= 10^11
Ancestors=![1.0995*10^{12} ancestors](https://tex.z-dn.net/?f=1.0995%2A10%5E%7B12%7D%20ancestors)
![10^{11}](https://tex.z-dn.net/?f=10%5E%7B11%7D%3C1.0995%2A10%5E%7B12%7D)
It means ancestors are not distinct, it means:
- Some ancestors on different branches of the family tree must be the same.
- There could not have been 39 generations in my line of ancestry.
Answer: 20
Step-by-step explanation:
2x^2 + 4y=
2(2)^2 + 4(3)=
2(4)+12=
8+12=20
Domain is the numbers you can use
the n stands for the which term
like 1st term, 2nd term, 3rd term, etc
so it makes sense that n is the set of all natural numbers (also called the set of counting numbers)