Advertisements
Advertisements
Question
While studying her family’s history. Shikha discovers records of ancestors 12 generations back. She wonders how many ancestors she has had in the past 12 generations. She starts to make a diagram to help her figure this out. The diagram soon becomes very complex.
- Make a table and a graph showing the number of ancestors in each of the 12 generations.
- Write an equation for the number of ancestors in a given generation n.
Advertisements
Solution
a. On the basis of given diagram, we can make a table that shows the number of ancestors in each of the 12 generations.
| Generations | Ancestors |
| 1st | 2 |
| 2nd | 22 |
| 3rd | 23 |
 |
 |
| 12th | 212 |
Hence, we can also make a graph that shows the relation between generation and ancestor.
b) On the basis of generation-ancestor graph, the number of ancestors in n generations will 2n.
APPEARS IN
RELATED QUESTIONS
Express the number appearing in the given statement in standard form.
Size of a bacteria is 0.0000005 m
Express the following numbers in the usual form.
The standard form of 12340000 is ______.
The standard form for 203000 is 2.03 × 105.
Write 39,00,00,000 in the standard form.
Express `(1.5 xx 10^6)/(2.5 xx 10^-4)` in the standard form.
The number of red blood cells per cubic millimetre of blood is approximately 5.5 million. If the average body contains 5 litres of blood, what is the total number of red cells in the body? Write the standard form. (1 litre = 1,00,000 mm3)
Express the following in standard form:
The mass of a proton in gram is `1673/1000000000000000000000000000`
Express the following in standard form:
Express 2 years in seconds.
A half-life is the amount of time that it takes for a radioactive substance to decay to one half of its original quantity.
Suppose radioactive decay causes 300 grams of a substance to decrease to 300 × 2–3 grams after 3 half-lives. Evaluate 300 × 2–3 to determine how many grams of the substance are left.
Explain why the expression 300 × 2–n can be used to find the amount of the substance that remains after n half-lives.
