Clearly, this is a geometric progression as 4/2 = 8/4 = 16/2 =. The amounts saved by Clara in the order of weeks are, 2, 4, 8, 16. Now, let us work on the example (from the last section) using the sum of n terms of GP formula. What happens when r = 1? Then the GP is of form a, a, a. Subtracting equation (1) from equation (2): Let S be the sum of the geometric progression of n terms. Then the first 'n' terms of GP are of the form a, ar, ar 2. Consider the sum of the first n terms of a geometric progression (GP) with first term a and common ratio r. Represent and analyze mathematical situations and structures using algebraic symbols.Let's discuss how to calculate the sum of n terms of GP. interpret representations of functions of two variables.understand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions.understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions.analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior.understand relations and functions and select, convert flexibly among, and use various representations for them.generalize patterns using explicitly defined and recursively defined functions.Understand patterns, relations, and functions. (p.296, PSSM) Instructional programs from Pre-K through grade 12 should enable all students to NCTM Standards: (those that apply to 9.2.2 are bolded) They learn the notation for both types of rules and that an arithmetic sequence is a linear function with a restricted domain.
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