Sequences and Series: Discrete Growth as a Special Case: Math Unit 7, Grade 11 (Letters & Devotion)

Description

Sequences and Series: Discrete Growth as a Special Case is Unit 7 of Algebra II: Functions, Structure, and Modeling (Grade 11), the Letters & Devotion Math course, complete in one printable PDF: 8 lessons, the unit check-up and the answer key, 58 pages.

• The structural distinction between arithmetic (constant additive difference) and geometric (constant multiplicative ratio) sequences
• The explicit formula for arithmetic and geometric sequences
• The correspondence between sequence formulas and their parent continuous functions (linear and exponential)
• The conversion between recursive and explicit representations of arithmetic and geometric sequences
• The finite geometric series sum formula and the multiply-and-subtract structure that produces it
• Arithmetic vs. geometric sequence models applied to unfamiliar real-world contexts
• Convergence of an infinite geometric series when |r| < 1 and the sum formula S = a/(1-r)
• Discrimination between arithmetic and geometric sequence structure under confusable surface conditions

Every lesson is written for a parent with no teaching background: it opens with a short script to read aloud, names the specific wrong idea a student is likely to reach for and how to correct it, and closes with a practice sheet you may copy for your household. Scripture references are King James Version throughout. Black-and-white, 8.5 x 11 in. The whole year of this course is also in this store as a single book.

AI note: The written content of this resource was drafted with AI tools, then reviewed and edited by the author.