Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
•
= a₁ 
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁
= 24 → (1)
Given a₈ =
, then
a₁
=
→ (2)
Divide (2) by (1)
=
= 
Hence r =
= 
Substitute this value into (1)
a₁ × (
)³ = 24
a₁ ×
= 24, hence
a₁ = 24 × 27 = 648
<u>Solution-</u>
Fuel consumption rate = 40 miles per UK gallon (As the car is manufactured in UK)
1 UK gallon = 4.5459631 lit
1 US gallon = 3.7853060 lit


As the fuel consumption rate = 40 miles per gallon
⇒ You need 1 UK gallon of fuel to go 40 miles
⇒ You need 1.2009499 US gallon of fuel to go 40 miles
Or you can say that, to go 40 miles you need 1.2009499 US gallon of fuel
⇒ To go 1 mile you will need 
⇒ To go 738 miles you will need 0.0300237×738 = 22.1574906 US gallon of fuel
∴ 22.1574906 gallon of fuel is actually required.
∴ But, what she thinks will require is
(As she calculated using UK gallons)