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The sum of two odd consecutive integers is divided by 2.
(a) n+1 (b) n+2
(c) 2n + 2 (d) n+2
(e) none of these?
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The sum of two odd consecutive integers is divided by 2. (a) n+1 (b) n...
Understanding Odd Consecutive Integers
Odd consecutive integers are numbers that follow one another in an odd sequence. The first odd integer can be represented as 'n', making the next consecutive odd integer 'n + 2'.
Sum of Two Odd Consecutive Integers
To find the sum of these two integers:
- First integer: n
- Second integer: n + 2
The sum is:
n + (n + 2) = 2n + 2
Dividing the Sum by 2
Next, we divide the sum by 2:
(2n + 2) / 2
This simplifies to:
n + 1
Identifying the Correct Answer
Now, let’s look at the options provided:
- (a) n + 1
- (b) n + 2
- (c) 2n + 2
- (d) n + 2
- (e) none of these
The simplified expression after dividing the sum is n + 1, which matches option (a).
Conclusion
Thus, the correct answer is:
Answer: (a) n + 1
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The sum of two odd consecutive integers is divided by 2. (a) n+1 (b) n+2 (c) 2n + 2 (d) n+2 (e) none of these?
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