To calculate: The sum of the first eight terms of the given series.
The given series is a geometric series and the sum of the first eight terms is 11111.111
Given:The series
Concept used:Each term in an arithmetic series changes by a constant, that is a constant is added or subtracted to each term to get the next term.
Each term in a geometric series is obtained by multiplying or dividing a constant. There is a constant ratio r between two successive terms of a geometric series. The sum of the first n terms is calculated using the formula
where
r is the common ratio
n is number of terms
Calculation:
Given series
The series has a constant ratio dividing successive terms, as shown below
Thus the given series is a geometric series with
The sum of first eight terms is calculated as shown below
Conclusion:The given series is a geometric series and sum of its first eight terms is 11111.111.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education