1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Annette [7]
3 years ago
14

You have two parents, four grandparents, eight great-grandparents, and so forth. (a) If all your ancestors were distinct, what w

ould be the total number of your ancestors for the past 39 generations (counting your parents' generation as number one)
Social Studies
1 answer:
s2008m [1.1K]3 years ago
4 0

Answer:

From the first generation = 2 ancestors.

From the second generation = 4 ancestors or (2)^2 ancestors.

From the third generation = 8 ancestors or (2)^3 ancestors.

We can infer from the given data, each consecutive generation possesses twice the number of members.

The sum will be:

2 + 4 + 8 + 16 + ... + (2)^39

To evaluate the amount of ancestors, let's employ the formula for the summation of a geometric sequence.

(Geometric sequence shows the sequence of numbers that varies by a specific factor. This factor is specifically known as a ratio).

Formula for Geometric sequence:

S = (a1) × 1 - (r)^n

--------------------------

1 - r

Take:

S -> sum

a1 -> first member of a sequence

r -> ratio

n -> number of elements

In this question, our:

a1 = 2; r = 2; and n = 39

S = (2) × 1 - (2)^39

-------------------------

1 - 2

S = 1,099,511,627,777

You might be interested in
The United States has a federal system of government. What does that mean? The national government has most of the power. The na
o-na [289]
Federal is a system of government. This means both the central government and the local government share power. Not sure if the sentences were questions, but I will answer them by numerical order.
1. Unitary
2. Federal
3. Confederation
4. Oligarchy (This is a type of government!)
Hope this helped!
4 0
3 years ago
What was the main reason Columbus went to the american continents
Kay [80]
It was by accident he was trying to get to india by going west to make it faster by ship and found america instead <span />
6 0
3 years ago
Read 2 more answers
In the 1950s, television shows typically were interrupted by advertisements by about 10 different companies,
Westkost [7]

Answer:

It is true. In the 1950s, television shows typically were actually interrupted by advertisements by about 10 different companies.

5 0
3 years ago
Read 2 more answers
Requirements for a case to be in federal court are either diversity of citizenship (from two different states) and amount in
atroni [7]

Answer:

I think its 75000 + 75000

Explanation:

because 75000 is on and i search web

5 0
2 years ago
Read 2 more answers
Discriminacion social
torisob [31]

Discrimination is the act of making unjustified distinctions between human beings based on the groups, classes, or other categories to which they are perceived to belong.

7 0
3 years ago
Other questions:
  • Waldo was visiting Israel when noticed he was in a new territory. He overhears someone talking about how this territory was crea
    11·1 answer
  • What is the relationship between an imperialist nation and its protectorate?
    7·1 answer
  • Jonathan had tried cocaine when he was a school student and slowly started to use it regularly. He does odd jobs to earn money f
    11·1 answer
  • Congress pays close attention to what its bureaucratic agents are doing because administrative oversight is a high priority sinc
    12·1 answer
  • Mass, like weight, always changes depending on its location??<br>True or False​
    5·2 answers
  • What will happen when trump is the president?
    6·2 answers
  • Why is it difficult to create national unity in West African nations?
    7·2 answers
  • The Southern Hemisphere is visible on how many of these map projections ? *
    9·2 answers
  • What is the answer to this question ​
    13·1 answer
  • What were the two responses to the Great Depression
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!