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An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?
- a)2N
- b)22N
- c)2N+1
- d)2N-1
- e)2N
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An Ameba is an organic life form that divides into two Amebas each rou...
Let’s find the number of Amebas in the first hours.
After one hour (N=1) there will be 4 Amebas.
After two hours (N=2) there will be 8 Amebas.
After three hours (N=3) there will be 16 amebas.
Therefore the formula that fits this series is 2N+1.
After one hour (N=1) there will be 4 Amebas.
After two hours (N=2) there will be 8 Amebas.
After three hours (N=3) there will be 16 amebas.
Therefore the formula that fits this series is 2N+1.
Most Upvoted Answer
An Ameba is an organic life form that divides into two Amebas each rou...
Solution:
Let's analyze the problem step by step:
1. Initial Situation:
- At the start, there are 2 Amebas in the jar.
2. First Hour:
- Each Ameba divides into 2, resulting in 4 Amebas in the jar. (2 x 2 = 4)
3. Second Hour:
- Each of the 4 Amebas divides into 2, resulting in 8 Amebas in the jar. (4 x 2 = 8)
4. Third Hour:
- Each of the 8 Amebas divides into 2, resulting in 16 Amebas in the jar. (8 x 2 = 16)
We can observe a pattern here:
- In the first hour, the number of Amebas doubles from 2 to 4.
- In the second hour, the number of Amebas doubles from 4 to 8.
- In the third hour, the number of Amebas doubles from 8 to 16.
Therefore, we can conclude that the number of Amebas in the jar doubles every hour.
Now, let's consider the general case:
- After N hours, the number of Amebas will double N times.
To calculate the number of Amebas after N hours, we can use the formula:
Number of Amebas = Initial Number of Amebas x (2^N)
In this case, the initial number of Amebas is 2, so we substitute it into the formula:
Number of Amebas = 2 x (2^N)
Simplifying the expression, we get:
Number of Amebas = 2^(N+1)
Comparing this expression with the answer options:
a) 2N
b) 22N
c) 2N + 1
d) 2N - 1
e) 2N
We can see that the correct answer is option "c" because 2^(N+1) is equivalent to 2N + 2^1, which simplifies to 2N + 2, or 2N + 1.
Therefore, the number of Amebas in the jar after N hours is 2N + 1.
Let's analyze the problem step by step:
1. Initial Situation:
- At the start, there are 2 Amebas in the jar.
2. First Hour:
- Each Ameba divides into 2, resulting in 4 Amebas in the jar. (2 x 2 = 4)
3. Second Hour:
- Each of the 4 Amebas divides into 2, resulting in 8 Amebas in the jar. (4 x 2 = 8)
4. Third Hour:
- Each of the 8 Amebas divides into 2, resulting in 16 Amebas in the jar. (8 x 2 = 16)
We can observe a pattern here:
- In the first hour, the number of Amebas doubles from 2 to 4.
- In the second hour, the number of Amebas doubles from 4 to 8.
- In the third hour, the number of Amebas doubles from 8 to 16.
Therefore, we can conclude that the number of Amebas in the jar doubles every hour.
Now, let's consider the general case:
- After N hours, the number of Amebas will double N times.
To calculate the number of Amebas after N hours, we can use the formula:
Number of Amebas = Initial Number of Amebas x (2^N)
In this case, the initial number of Amebas is 2, so we substitute it into the formula:
Number of Amebas = 2 x (2^N)
Simplifying the expression, we get:
Number of Amebas = 2^(N+1)
Comparing this expression with the answer options:
a) 2N
b) 22N
c) 2N + 1
d) 2N - 1
e) 2N
We can see that the correct answer is option "c" because 2^(N+1) is equivalent to 2N + 2^1, which simplifies to 2N + 2, or 2N + 1.
Therefore, the number of Amebas in the jar after N hours is 2N + 1.
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An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?a)2Nb)22Nc)2N+1d)2N-1e)2NCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?a)2Nb)22Nc)2N+1d)2N-1e)2NCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?a)2Nb)22Nc)2N+1d)2N-1e)2NCorrect answer is option 'C'. Can you explain this answer?.
An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?a)2Nb)22Nc)2N+1d)2N-1e)2NCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?a)2Nb)22Nc)2N+1d)2N-1e)2NCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?a)2Nb)22Nc)2N+1d)2N-1e)2NCorrect answer is option 'C'. Can you explain this answer?.
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