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Sequences and Series

Explore the interactive below to learn about sequences and series.

  • What are some examples of sequences and series?
  • Using the results below:
    • Create a formula for generating the sum of the first n odd numbers that is not in summation notation form. Hints:
      • What are the dimensions of the square created by the first two, three, four and five terms in the series?  How do the dimensions relate to the number of terms in the series? 
      • What would be the sum of the first 10 terms of this series?  The first 50 terms?  The first n terms?
    • Create a formula for generating the sum of the first n even numbers that is not in summation notation form. Hints:
      • What are the dimensions of the rectangle created by the first two, three, four and five terms in the series?  How do the dimensions relate to the number of terms in the series? 
      • What would be the sum of the first 10 terms of this series?  The first 50 terms?  The first n terms?

More about Sequences and Series.

See the matching Ontario Mathematics Curriculum expectations.