Math III · A-SSE.4

Derive and use the finite geometric series formula to solve problems such as mortgage-payment models.

Derive and use the finite geometric series formula to solve problems such as mortgage-payment models.

Concept Algebra
Domain Seeing Structure in Expressions
Problem Types

Problem Templates In This Objective

13 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Identify and verify a finite geometric series

4 variants
Template 2

Find the sum of a finite geometric series from the first term, ratio, and term count

4 variants
Template 3

Decode and evaluate a finite geometric sigma sum

4 variants
Template 4

Model end-of-period deposits at a common valuation date

4 variants
Template 5

Build a finite geometric-series model for a loan balance after repeated end-of-period payments

4 variants
Template 6

Find the equal periodic payment from a finite geometric series model

4 variants
Template 7

Find how many periods are needed in a finite geometric-series model

4 variants
Template 8

Select arithmetic or geometric structure from its invariant

4 variants
Template 9

Label every finite-geometric parameter with role, units, and timing

4 variants
Template 10

Write a finite geometric series model for repeated depreciation or discount and identify the first term, common ratio, and number of terms

4 variants
Template 11

Evaluate and precisely interpret a finite geometric model

4 variants
Template 12

Decide whether the finite geometric series formula applies for a given common ratio

4 variants
Template 13

Compare financial plans at a matched valuation date

4 variants