# Discrete structure lecture_18

Apr 28th, 2015
Studypool Tutor
University of Phoenix
Course: Information Technologies
Price: \$5 USD

Tutor description

It includes all the details about the Discrete structure with examples.Step by step solution.

Word Count: 1127
Showing Page: 1/14
DISCREAT STRUCTURELECTURE # 18GEOMETRIC SERIESKHAWAJA TARIQ MAHMOODLecture # 18GEOMETRIC SERIESGEOMETRIC SERIES:A sequence of numbers in which every term after the first is obtained from thepreceding term by multiplying it with a constant number, is called common ratio. In other words,a geometric progression is a sequence of numbers in which the same quotient is obtained bydividing any term after the first by the preceding term. This quotient is called the common ratio.THE nth TERM OF A GEOMETRIC SERIES:Let the common ratio be denoted by r, the first term by a1, the nth term by an and thenumber of terms by n. The nth term of the geometric progression isan a1r n1EXAMPLE:Find the 9th, 10th and 11th term of the G.S. 2, 1,1, .2SOLUTION:a1 212a9 ?ra10 ?a11 ?9th terman a1r n11a9 2 29 11a10 2 281a10 2 22a10 921a10 9121a9 2 2a9 a9 10th terman a1r n12281281Khawaja Tariq Mahmood.11th terman a1r n110 11a11 2 211191a11 2 22a11 1021a11 101210Page 2Lecture # 18GEOMETRIC SERIESa9 a9 127a10 1128128a10 a11 1256129a11 1512SUM OF THE n TERMS OF A GEOMETRIC SERIES:a1 (r n 1)Sn r 1a1 (1 r

## Review from student

Studypool Student
" Excellent work as always thanks so much "

1822 tutors are online

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