AII.16 The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve practical problems, including writing the first n terms, finding the nth term, and evaluating summation formulas.AII.03b The student will write radical expressions as expressions containing rational exponents and vice versa.AII.03a The student will add, subtract, multiply, divide, and simplify radical expressions containing positive rational numbers and variables and expressions containing rational exponents.These formulae will be used together with other algebraic techniques to solve a variety of problems that involve number sequences and series. AII.02 The student will add, subtract, multiply, divide, and simplify rational expressions, including complex fractions. Arithmetic sequences and geometric sequences are introduced and you will learn about formulae for these.AII.01 The student will identify field properties, axioms of equality and inequality, and properties of order that are valid for the set of real numbers and its subsets, complex numbers, and matrices.7.20 The student will write verbal expressions as algebraic expressions and sentences as equations.7.19 The student will represent, analyze, and generalize a variety of patterns, including arithmetic sequences and geometric sequences, with tables, graphs, rules, and words in order to investigate and describe functional relationships. 3.2: ArithmeticSequences, Geometric Sequences : Visual Reasoning, and Proof by Induction Expand/collapse global location 3.2: ArithmeticSequences, Geometric Sequences : Visual Reasoning, and Proof by Induction.
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