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Which of the following does 2n -1 represent?
- a)1 subtracted from the product of n and 2.
- b)The difference of two times n and 2.
- c)2n added to 1.
- d)n subtracted from 2.
Correct answer is option 'A'. Can you explain this answer?
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Which of the following does 2n -1 represent?a)1 subtracted from the pr...
2n - 1 is 1 subtracted from the product of 2 and n.
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Which of the following does 2n -1 represent?a)1 subtracted from the pr...
Understanding the Expression 2n - 1
To analyze what the expression 2n - 1 represents, let's break it down:
1. Breakdown of the Expression
- The term "2n" means 2 multiplied by n.
- The "− 1" indicates that we are subtracting 1 from the result of "2n".
2. Evaluating the Options
- Option A: "1 subtracted from the product of n and 2."
- This matches perfectly because we first find the product of n and 2 (which is 2n) and then subtract 1. This is exactly what 2n - 1 represents.
- Option B: "The difference of two times n and 2."
- This suggests a different expression, which would be written as 2n - 2, not 2n - 1.
- Option C: "2n added to 1."
- This is incorrect because it suggests we are adding 1, which is the opposite of what the expression does.
- Option D: "n subtracted from 2."
- This would be represented as 2 - n, which is also not correct.
3. Conclusion
The correct interpretation of the expression 2n - 1 is indeed option A. The phrase clearly describes the operation being performed: taking the product of n and 2, and then subtracting 1 from that product. This detailed breakdown supports why option A is the accurate representation of the expression.
To analyze what the expression 2n - 1 represents, let's break it down:
1. Breakdown of the Expression
- The term "2n" means 2 multiplied by n.
- The "− 1" indicates that we are subtracting 1 from the result of "2n".
2. Evaluating the Options
- Option A: "1 subtracted from the product of n and 2."
- This matches perfectly because we first find the product of n and 2 (which is 2n) and then subtract 1. This is exactly what 2n - 1 represents.
- Option B: "The difference of two times n and 2."
- This suggests a different expression, which would be written as 2n - 2, not 2n - 1.
- Option C: "2n added to 1."
- This is incorrect because it suggests we are adding 1, which is the opposite of what the expression does.
- Option D: "n subtracted from 2."
- This would be represented as 2 - n, which is also not correct.
3. Conclusion
The correct interpretation of the expression 2n - 1 is indeed option A. The phrase clearly describes the operation being performed: taking the product of n and 2, and then subtracting 1 from that product. This detailed breakdown supports why option A is the accurate representation of the expression.
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Which of the following does 2n -1 represent?a)1 subtracted from the product of n and 2. b)The difference of two times n and 2.c)2n added to 1.d)n subtracted from 2.Correct answer is option 'A'. Can you explain this answer?
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