- A car has six forward gears.
The fastest speed of the car
- in \(1 ^ { \text {st } }\) gear is \(28 \mathrm {~km} \mathrm {~h} ^ { - 1 }\)
- in \(6 ^ { \text {th } }\) gear is \(115 \mathrm {~km} \mathrm {~h} ^ { - 1 }\)
Given that the fastest speed of the car in successive gears is modelled by an arithmetic sequence,
- find the fastest speed of the car in \(3 { } ^ { \text {rd } }\) gear.
Given that the fastest speed of the car in successive gears is modelled by a geometric sequence,
- find the fastest speed of the car in \(5 ^ { \text {th } }\) gear.