Concept explainers
Derive the General sum formula using the alternate sum formula.
Answer to Problem 64HP
The alternate formula for sum of n terms of GP series is
Explanation of Solution
Given:
Derive the General sum formula using the alternate sum formula.
Concept Used:
The general formula for summation of GP series is:
The nth term formula for GP series is:
Calculation:
The general sum formula for GP series:
We can rewrite the formula:
The nth term formula for GP:
Now substitute the nth terms formula
Thus, the alternate formula for sum of n terms of GP series is
Chapter 11 Solutions
Algebra 2
Additional Math Textbook Solutions
Linear Algebra and Its Applications (5th Edition)
College Algebra
College Algebra (7th Edition)
- 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