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