# Geometric Sequences and Series

Apr 14th, 2015
Studypool Tutor
Price: \$5 USD

Tutor description

After an explanation of the formulas to be used, the practice begins with finding the common ratio and then moves on to the application of finding next four terms. Increasing in difficulty, three or four geometric means have to be calculated. The final questions deal with the sum of a geometric series and the sum of an infinite number of geometric terms. A thorough revision, guide and examination practice.

Word Count: 429
Showing Page: 1/3
Geometric Sequences and Series Reminder : 1. In a geometric sequence the ratio of any term to the preceding term is a constant (called the common ratio, r): tn/tn-1 = r2. The formula for the nth term of a geometric sequence is: Un = U1 r ^ (n-1) = a rn-1 where the first term is a, and common ratio r3. The formula for the Sum of n terms of a geometric sequence is: Sn = U1 [(r ^ n) -1] = a ( rn -1) where the first term is a, and common ratio r r -1 r -14. The sum of an infinite number of terms of a geometric series : S? = a (-1 < r <1) 1 -rAnswer each of the following problems. Make sure to show your work. 1) What is the common ratio of the following geometric sequence? 5, 15, 45,?2) What are

## Review from student

Studypool Student
" Solid work, thanks. "

1828 tutors are online

### Other Documents

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors