Discussion
A gardener wanted to reward a girl for her good deeds by giving some apples. He gave 2 apples on the first day, 4 on the second day, 8 on the third day, 16 apples on the fourth day and so on for ten days. How many apples did she get from the gardener at the end of the tenth day
Answer: D
She received 2046 apples.
The apples form a geometric progression 2, 4, 8, ... with first term 2 and common ratio 2, for 10 terms:
\[ \begin{aligned} S_{10} &= \frac{2(2^{10} - 1)}{2 - 1} \\ &= 2(1024 - 1) = 2046 \end{aligned} \]
1024 is the number given on the tenth day alone (\(2^{10}\)), not the total; 2060 and 1760 do not come from the series.
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