To identify: Whether the statement is true or false “if the common difference of an arithmetic series is doubled while the first term and number of terms in the series remain unchanged, then the sum of the series is doubled.”
This statement is false.
Given information:
If the common difference of an arithmetic series is doubled while the first term and number of terms in the series remain unchanged, then the sum of the series is doubled.
Explanation:
If the difference between every pair of consecutive terms in a sequence is the same is called the common difference.
An arithmetic series is the sum of a sequence
If an arithmetic series' common difference is doubled while the first term and number of terms in the series remain unchanged, the sum of the series is not doubled because the first term is not doubled, so this statement is false.
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- 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