Answer:
-288
Step-by-step explanation:
Geometric Sequence is the sequence in which every digit is the same multiplier of its previous digit.
The formula of Geometric Sequence is: \(a_{n} = a_{1}(r)^{n-1}\)
Here we have given that, a₁ = -8, r = 6
So, for finding the 3rd term, n = 3
∵ \(a_{n} = a_{1}(r)^{n-1}\)
∴ \(a_{3} = -8(6)^{3-1}\)
⇒ a₃ = -8 × 36 = -288
Thus, third term is -288.