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Diploma in Higher Education Studies

Geometric sequences

HES 212 · Further Mathematics for University Study — Week 6 of 16

CourseHES 212
Week6 of 16
SemesterII
TutorOnline in the course chat

This week’s topics

Geometric sequences

  1. Doubling and halving
  2. Growth with a common ratio

What you will be able to do

  • 2.1 Identify arithmetic and geometric sequences.

Activity

Model the growth of followers on a social media account.

Study materials

Further resources

  • Contemporary Mathematics, 3.11: Geometric Sequences · PDF · OpenStax Contemporary Mathematics (2023), 3.11: doubling, halving and the common ratio, pp. 246–253 · for registered students
  • College Algebra 2e, 9.3: Geometric Sequences · PDF · OpenStax College Algebra 2e (2021), 9.3: growth with a common ratio (a step up), pp. 885–893 · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
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Course plan
  • Week 1: Coordinates and straight-line graphs
  • Week 2: Gradient and y-intercept (y = mx + c)
  • Week 3: Plotting quadratic graphs
  • Week 4: Using graphs to solve problems
  • Week 5: Number sequences and the nth term
  • Week 6: Geometric sequences
  • Week 7: Sequences and how fast programs grow
  • Midterm: Midterm evaluation
  • Week 9: Probability basics
  • Week 10: Probability of two events
  • Week 11: Statistics for a dataset
  • Week 12: From a problem to pseudocode
  • Week 13: Checking a solution with test data
  • Week 14: Maths problem-solving project
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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