Discussion
Find the sum of the infinite G.P. 16, 8, 4, ...
Answer: A
The first term \(a = 16\) and the common ratio \(r = 8/16 = 1/2\). The sum of an infinite G.P. is given by \(S_\infty = \frac{a}{1-r}\), provided \(|r| < 1\). Here, \(|1/2| < 1\), so the sum exists. \(S_\infty = \frac{16}{1 - 1/2} = \frac{16}{1/2} = 32\).
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development