Answer:
- (a) make use of average values; (b) use a variable (n) and consecutive values: n+1, n+2, and so on
- Even integers differ by 2 instead of 1, so they would be represented by n, n+2, n+4, and so on.
- Odd integers also differ by 2, so they would have the same representation.
Step-by-step explanation:
1) If the sum of consecutive integers is given, I usually solve the problem by considering the average of those integers: the sum divided by the number of integers. (See https://brainly.com/question/17307802 for an example.)
If some other relation is given then quite often a variable is assigned to one of the integers, often the smallest. If they are consecutive, then the others may be n+1, n+2, n+3 and so on.
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2) If they are consecutive even or odd, then they differ by 2 instead of 1: n, n+2, n+4, and so on.
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3) That difference of 2 is the same whether the integers are consecutive even or consecutive odd. The representation used does not change.
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Additional comment
In some instances, you need to ensure that the integers are even or odd, so you might use a representation of 2n for an even integer and 2n+1 for an odd integer. This is rarely an issue in consecutive integer problems.
