A.SSE.4: Applying the Sum Formula of Finite Geometric Series in Practical Scenarios like Mortgage Payment Calculations

Grade: Algebra

Domain: SSE: Seeing Structure in Expressions

Standard Description

Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.

Domain Description

Parts of an expression, such as terms, factors, and coefficients can be interpreted individually. Complex expressions can be understood by viewing parts of it as a single unit. Through the structure of an expression, you can identify and implement rewrites. Recognition of patterns, like a difference of squares, can aid in this. Quadratic expressions can be factored to reveal the zeros of the function, or completed to reveal its maximum or minimum values. Exponential functions can be transformed using exponent properties. Similarly, the formula for a finite geometric series sum can be derived and applied to solve problems like mortgage payments.