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Exam-Style Question on IterationA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 619. This question is similar to one that appeared on a GCSE Higher paper in 2020. The use of a calculator is allowed.
A large mug of hot tea is cooling on a small lounge table.
The temperature \(n\) minutes after 2pm is \(T_n\) degrees Celsius.
The temperature of the tea (n+1) minutes after 2pm, \(T_{n + 1}\) metres, is given by:
$$T_{n + 1} = A × T_n + 24$$where \(A\) is a constant.
At 2pm the tea is a piping hot 84°.
At 14:01 temperature of the tea is 80°.
Work out the temperature of the tea at 14:03
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