MathDB
low temperature in christmas

Source: ItaMO 2004, p1

March 3, 2012
number theory proposednumber theory

Problem Statement

Observing the temperatures recorded in Cesenatico during the December and January, Stefano noticed an interesting coincidence: in each day of this period, the low temperature is equal to the sum of the low temperatures the preceeding day and the succeeding day. Given that the low temperatures in December 33 and January 3131 were 5C5^\circ \text C and 2C2^\circ \text C respectively, find the low temperature in December 2525.