Question 4
Sequences and SeriesGive that √6, 3√2, 3√6, 9√2, ...are the first four terms of an exponential sequence (G.P). Find, in its simplest form, the 8th term.
- A.27√2
- B.27√6
- C.81√2
- D.81√6
Show the answer and explanation
Answer: C (81√2)
Explanation
r = 3√2 ÷ √6 = √3. T8 = ar7 = √6 × (√3)7 = √6 × 27√3 = 27√18 = 81√2.