Question 38
Sequences and SeriesAn exponential sequence (G.P.) is given by 8√2, 16√2, 32√2, …. Find the nth term of the sequence
- A.8n√2
- B.8√2n
- C.√(2(n + 3))
- D.2(n + 2)√2
Show the answer and explanation
Answer: D (2(n + 2)√2)
Explanation
a = 8√2, r = 2. Tₙ = 8√2 × 2ⁿ⁻¹ = 2³ × 2ⁿ⁻¹ × √2 = 2ⁿ⁺²√2.