Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Jun 0308:30 AM PDT
-09:30 AM PDT
In Episode 7 of our GMAT Ninja CR series, we are rounding up the oddballs, the misfits, and the format-benders: EXCEPT, Fill-In-The-Blanks, and other unusual Critical Reasoning question types. When you see a question that ends with a literal blank line
May 2910:00 AM IST
-11:00 PM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.- Jun 02
10:00 AM PDT
-11:00 AM PDT
Probability is one of the most important GMAT Quant topics because it often combines logic, counting, set theory, and permutations & combinations. Many students try to solve probability questions by listing every possible case, but GMAT probability... - Jun 04
08:30 AM PDT
-09:30 AM PDT
For most test takers, Data Insights is the most challenging section on the GMAT, with test takers scoring several points lower on average on DI than on Quant or Verbal and completing the section with less time to spare. - Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
03 Dec 2024, 09:00
Kudos
Bookmarks
\(H_{6}\): 85
Flowers: 97
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
70% (03:29) correct
30%
(03:29)
wrong
based on 500
sessions
History
Date
Time
Result
Not Attempted Yet
A species of tree grows in a unique pattern such that its height in a given year follows a sequence defined as:
where \(H_{1}\) = 3 meters and \(H_{2}\) = 5 meters, and \(H_{n}\) is the height of the tree in meters at the end of year n.
The tree produces flowers in odd years (e.g., 1, 3, 5, 7, ...). The number of flowers produced in year 2n+1 is equal to the value of \(H_{2n+1} * n\).
Based on the above information, select for \(H_{6}\) the height of the tree in year 6 and for Flowers the total amount of flowers produced from year 1 to 6.
\(H_{n} = H_{n-1} + 2 * H_{n-2}\)
where \(H_{1}\) = 3 meters and \(H_{2}\) = 5 meters, and \(H_{n}\) is the height of the tree in meters at the end of year n.
The tree produces flowers in odd years (e.g., 1, 3, 5, 7, ...). The number of flowers produced in year 2n+1 is equal to the value of \(H_{2n+1} * n\).
Based on the above information, select for \(H_{6}\) the height of the tree in year 6 and for Flowers the total amount of flowers produced from year 1 to 6.
| \(H_{6}\) | Flowers | |
| 67 | ||
| 79 | ||
| 85 | ||
| 86 | ||
| 97 | ||
| 100 |
ShowHide Answer
Official Answer
\(H_{6}\): 85
Flowers: 97
03 Dec 2024, 12:11
Kudos
Bookmarks
Can someone explain how they got 97 flowers
03 Dec 2024, 14:19
Kudos
Bookmarks
cdrectenwald
Flowers are produced only in odd years (n=1,3,5...). For odd year 2n+1, the number of flowers is:
Flowers in year 2n+1 = H2n+1 * n
1. Year 1 (2n+1=1, solving n we get n=0):
Flowers = H1*0 = 3*0 = 0
2. Year 3 (2n+1=3, solving n we get n=1):
Flowers = H3*1 = 11*1 = 11
3. Year 5 (2n+1=5, solving n we get n=2):
Flowers = H5*2 = 43*2 = 86
Total Flowers = 0+11+86 = 97.
