2004 · Q83
83. What is the nth term of the series √3, √6, 2√3, ...?
MathematicsSequences
- A√3(√2)ⁿ⁻¹
- B√2(√3)ⁿ⁻¹
- C√3(√2)ⁿ
- D√2(√3)ⁿ
Explanation
The terms are √3, √6 = √3·√2, 2√3 = √3·(√2)² — a geometric progression with first term √3 and common ratio √6/√3 = √2. The nth term of a GP is a·rⁿ⁻¹, giving √3(√2)ⁿ⁻¹.