The hourly temperature recorded by an automatic weather station forms an arithmetic…
MATHEMATICS · Multi-part · AoPS · Mathematics · Sequences & Series · Sequences & Series
Problem
The hourly temperature recorded by an automatic weather station forms an arithmetic progression. The temperature at the 2nd hour is 28∘C and at the 12th hour it is 8∘C.
(i) Determine the temperature at the 1st hour and the common difference.
(ii) Obtain a formula for the temperature Tn at the nth hour.
(iii) Find the earliest hour when the temperature will drop below 0∘C.