NDA2011MathematicsSequences and SeriesActual
What is the sum of 3 + 1 3 + 1 3 3 + ?
Options
- A3 2
- B3 3 2
- C2 3 2
- D3
Correct answer
B. 3 3 2
Step-by-step solution
3 + 1 3 + 1 3 3 + The given series is in G.P. an infinite series Here, first term = 3 And common ratio = 1 3 Required sum = 3 1- 1 3 = 3 2 3 = 3 3 2 .