All GRE Math Resources
Example Questions
Example Question #11 : Sequences
The sequence is defined by:
What is the value of ?
Possible Answers:
Correct answer:
Explanation:
For this problem, you definitely do not want to "count upwards" to the full value of the sequence. Therefore, the best approach is to consider the general pattern that arises from the general definition:
This means that for every element in the list, each one is less than the one preceding it. For instance:
Now, notice that the first element is:
The second is:
The third could be represented as:
And so forth...
Now, notice that for the third element, there are only two instances of . We could rewrite our sequence:
This value will always "lag behind" by one. Therefore, for the th element, you will have:
All GRE Math Resources
Popular Subjects
Spanish Tutors in Los Angeles, GMAT Tutors in New York City, LSAT Tutors in Philadelphia, Chemistry Tutors in Washington DC, English Tutors in Philadelphia, Calculus Tutors in Seattle, SAT Tutors in Washington DC, Math Tutors in New York City, Computer Science Tutors in Phoenix, GMAT Tutors in Boston
Popular Courses & Classes
SAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Washington DC, SAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Denver, MCAT Courses & Classes in Miami, GMAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Houston, GRE Courses & Classes in Miami, GRE Courses & Classes in Boston, ISEE Courses & Classes in Phoenix
Popular Test Prep
ACT Test Prep in Los Angeles, GMAT Test Prep in Philadelphia, SSAT Test Prep in Miami, LSAT Test Prep in Washington DC, MCAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Washington DC, MCAT Test Prep in San Diego, LSAT Test Prep in New York City, LSAT Test Prep in Miami, SAT Test Prep in New York City