Carcass wrote:
At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 10 months?
(A) 2^3
(B) 3^2
(C) 2(3^10)
(D) 3(2^10)
(E) 3(10^2)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookThis is a great candidate for creating a
growth table ELAPSED TIME (in months) | NUMBER OF ANIMALS0 |
3 1 | (
3)
(2) animals
[since the population doubles each month]2 | (
3)
(2)(2) animals
3 | (
3)
(2)(2)(2) animals
4 | (
3)
(2)(2)(2)(2) animals
.
.
.
We can see the pattern and recognize that, at the end of month
10, we'll have the product of one
3 and
ten 2's.
.
.
10 | (
3)
(2)^10Answer: D
Cheers,
Brent