A fuel tank on a farm is being filled at a steady rate. The table shows the number of litres in the tank at the end of each of the first three hours. Hour (...
Question 1 Report
A fuel tank on a farm is being filled at a steady rate. The table shows the number of litres in the tank at the end of each of the first three hours.
| Hour (\(n\)) | 1 | 2 | 3 |
|---|---|---|---|
| Litres | 150 | 210 | 270 |
- Work out the number of litres in the tank at the end of hour 4. (2)
Answer Details
An arithmetic sequence increases by the same fixed amount each hour while the tank fills steadily; adding that fixed amount once more to the last known term gives the next term.
The litres rise from 150 to 210 to 270, each 60 more than the hour before, so the common difference is 60. Adding this to the hour 3 total gives the hour 4 total: \[270 + 60 = 330 \text{ litres}\] [2 marks]
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