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MathNet 2004 — Part 02 Question 38

Math Olympiad Vault · MathNet 2004 — Part 02

Question 38

Observing the temperatures recorded in Cesenatico in the last months of December and January, Stefano noticed a strange coincidence: on all days of this period (excluding the first and last) the minimum temperature was the sum of the minimum temperature of the previous day and the following day.

Knowing that on December 3rd the minimum temperature was 5 degrees, and on January 31st it was 2 degrees, determine the minimum temperature on December 25th.