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Geometric progression (×3): Find the 8th term of the sequence 2, 6, 18, 54, … Recognize the constant ratio and use the nth-term formula to compute term 8. Choose the correct value.

Q: Geometric progression (×3): Find the 8th term of the sequence 2, 6, 18, 54, … Recognize the constant ratio and use the nth-term formula to compute term 8. Choose the correct value.

Identify GP Common ratio r = 3; first term a = 2. Apply nth-term Tn = a · rn−1 T8 = 2 · 37 = 2 · 2187 = 4374.

Difficulty: Easy

4370
4374
7443
7434

Correct Answer: 4374

Explanation:

Identify GP
Common ratio r = 3; first term a = 2.

Apply nth-term
T_n = a · rⁿ⁻¹ T₈ = 2 · 3⁷ = 2 · 2187 = 4374.

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