Engineering Board Exam Reviewer · Sequences and Series · medium
A ball is dropped from a height of 12 m and rebounds to 23 of its previous height after each bounce. What total distance does it travel before coming to rest?
- 36 m
- 60 m
- 48 m
- 72 m
Answer
B. 60 m
Solution
The first drop is 12 m. After that, each rebound height 12≤ft( 23 )n is traveled up and down. Rebounds sum to 8/1-2/3=24, so the total is 12+2(24)=60 m.
More Sequences and Series questions
- Express the repeating decimal 0.363636 as a common fraction in lowest terms.
- Insert 4 arithmetic means between 5 and 30. What is the third mean?
- Find the 15th term of the arithmetic sequence 7, 11, 15,
- Solve for x in the following equation: x+4x+7x+·s+64x=1430.
- The seating section in a Coliseum has 30 seats in the first row, 32 seats in the second row, 34 seats in the third row, and so on, until…
- Find the 100th term of the sequence 1.01, 1.00, 0.99,
- Determine x, so that x, 2x+7, 10x-7 will form a geometric progression.
- If one third of the air in a tank is removed by each stroke of an air pump, what fractional part of the total air is removed in 6 strokes?
- If the 1st term of the geometric progression is 27 and the 4th term is -1, the third term is:
- Find the ratio of an infinite geometric series if the sum is 2 and the first term is 1/2.