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Diploma in Higher Education Studies

Number sequences and the nth term

HES 212 · Further Mathematics for University Study — Week 5 of 16

CourseHES 212
Week5 of 16
SemesterII
TutorOnline in the course chat

This week’s topics

Number sequences and the nth term

  1. Arithmetic sequences
  2. Finding the nth term

What you will be able to do

  • 2.1 Identify arithmetic and geometric sequences.

Activity

Find the next terms and the nth term of five sequences.

Study materials

Further resources

  • Contemporary Mathematics, 3.10: Arithmetic Sequences · PDF · OpenStax Contemporary Mathematics (2023), 3.10: arithmetic sequences and the nth term, pp. 239–245 · for registered students
  • College Algebra 2e, 9.2: Arithmetic Sequences · PDF · OpenStax College Algebra 2e (2021), 9.2: finding the nth term (a step up), pp. 874–884 · 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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