Set n consists of n consecutive integers, n>1. N-?
1) The sum of the integers is divisible by 7
2) The sum of the integers is 14
If the sum had mentioned n consecutive positive
integers would the answer have been B ?
I am assuming the question is: What is n?
Yes it would.
What happens in case of positive integers?
Note that the sum of consecutive numbers in even. It means the number of odd integers in the sequence must be 2 or 4 or 6 etc. So the number of integers in the sequence must be 4 or 8 or 12 etc. The only possibility is that the numbers must be 2, 3, 4, 5. No other 4 consecutive integers can give the same sum since the numbers will be either larger or smaller than these. Also, 8 or 12 consecutive integers cannot add up to give you 14.
When negative integers are also allowed, this logic fails.
2, 3, 4, 5 - sum 14
-1, 0, 1, 2, 3, 4, 5 - sum 14
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