Arithmetic series

Lessons

• 1.
  Arithmetic series formula
  Determine the sum of the first ten terms of the arithmetic series: 6 + 1 – 4 – 9 – … .

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• 2.
  Problem involving both arithmetic sequence formula and arithmetic series formula
  Find the sum of the arithmetic series: – 4 – 1 + 2 + …. + 329.

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• 3.
  $t_{n}=s_{n}-s_{n-1}$
  The sum of the first n terms of an arithmetic series is ${s_n} = 7{n^2} - 5n$ .
  a)

  Find the common difference.
  
  
  b)

  Determine the first six terms of the corresponding arithmetic sequence.
  
  

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• 4.
  A triangle has a perimeter of 32m; the shortest side is 6 m long. If the side lengths of this triangle form an arithmetic sequence, what are the other side lengths?

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