--- title: "PC.PAR.7: Sequences and Series Models (Georgia Mathematics standard)" code: PC.PAR.7 cite_as: Georgia Standards of Excellence, Mathematics, PC.PAR.7 subject: math grades: - high-school language: en canonical_url: https://georgiahomeroom.org/standards/code/PC.PAR.7 md_url: https://georgiahomeroom.org/standards/code/PC.PAR.7.md alternate_language_url: https://georgiahomeroom.org/es/standards/code/PC.PAR.7.md source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180 source_last_changed: 2024-10-09 data_built: 2026-09-18 publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district. up: https://georgiahomeroom.org/standards/math/high-school.md index: https://georgiahomeroom.org/standards/index.md --- # PC.PAR.7: Sequences and Series Models Demonstrate how sequences and series apply to mathematical models in real-life situations. - Subject: Mathematics - Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md ## Expectations - Analyze sequences using multiple representations. - **PC.PAR.7.1**: Demonstrate that sequences are functions whose domain is the set of natural numbers. - **PC.PAR.7.2**: Represent sequences graphically, numerically, and symbolically. - **PC.PAR.7.3**: Determine the limit of a sequence if it exists. - Analyze series using multiple representations. - **PC.PAR.7.4**: Demonstrate that a series is the sum of the sequence and represent series graphically, numerically, and symbolically. - **PC.PAR.7.5**: Describe the behavior of a series in terms of the limit of its partial sums. - **PC.PAR.7.6**: Derive and use the sum formula of a finite geometric series to solve contextual problems to model real-life situations. - **PC.PAR.7.7**: Derive and use the sum formula of an infinite geometric series to solve contextual problems to model real-life situations. ## Georgia Milestones coverage No Georgia Milestones blueprint cites this standard. Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.