Discussion
The sum of \( 1 - 1 + 1 - 1 + 1 - 1 \cdots \) to even number of terms is-
Answer: A
The sum is zero.
Pair the terms: \( (1 - 1) + (1 - 1) + \cdots \). With an even number of terms every 1 is matched by a \( -1 \), so each pair is 0 and the total is 0.
With an odd number of terms one extra +1 is left over, giving 1; that is the trap in the +1 option. −1 and 2 cannot be reached by any number of terms.
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