Edexcel C1 2006 June — Question 7

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2006
SessionJune
TopicArithmetic Sequences and Series

7. An athlete prepares for a race by completing a practice run on each of 11 consecutive days. On each day after the first day, he runs further than he ran on the previous day. The lengths of his 11 practice runs form an arithmetic sequence with first term \(a \mathrm {~km}\) and common difference \(d \mathrm {~km}\). He runs 9 km on the 11th day, and he runs a total of 77 km over the 11 day period.
Find the value of \(a\) and the value of \(d\).