The table shows the temperature of a cooling cup of coffee.

Minutes 1 2 3 4

Temperature (degrees C) 97 95.1 93.2 91.3

What is the common ratio of the sequence? Express your answer as a decimal rounded to the nearest hundredth.

Write an explicit formula for the nth term of the sequence where n represents the number of minutes and T(n) represents the temperature of the coffee.

If the pattern continues, what will be the temperature of the coffee after 15 minutes? Express your answer as a decimal rounded to the nearest tenth.

common ratio,explicit formulaand temperature of the coffee after 15 minutes is 0.98,Tn = 97 × 0.98^(n-1)and73.1°C## Geometric sequence

r = 0.98Tn = 97 × 0.98^(n-1)73.1°Ccommon ratio: