We have been quite lucky with the weather recently, it has got steadily warmer each day, over the last five days.
By this, I mean that the temperature rose by the same amount each day.
The average temperature was 2 degrees C and I know it froze on two occasions.
I also know the product of the temperatures was over 500 degrees but below 2,000 degrees and each temperature was an integer.
What were the last 5 temperatures?
[Ref: ZHIR] © Kevin Stone
The temperatures were 6, 2, 2, 6, 10 degrees C.
Each day increased by a steady 4 degrees.
As the temperature rose steadily each day and the average was 2 degrees, we know the middle temperature was 2 degrees.
If we assume a daily increase of 1, the sequence would be 0, 1, 2, 3, 4. This doesn't work we require 2 negative temperatures.
If we assume a daily increase of 2, the sequence would be 2, 0, 2, 4, 6. This doesn't work we require 2 negative temperatures.
If we assume a daily increase of 3, the sequence would be 4, 1, 2, 5, 8. This doesn't work as the product is less than 500.
If we assume a daily increase of 4, the sequence would be 6, 2, 2, 6, 10. This matches all of the requirements.
If we assume a daily increase of 5, the sequence would be 8, 3, 2, 7, 12. This doesn't work as the product is more than 2000.
So the only possible answer is 6, 2, 2, 6, 10.
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