Arithmetic series

Lessons

1. Arithmetic series formula
   Determine the sum of the first ten terms of the arithmetic series: 6 + 1 – 4 – 9 – … .
2. Problem involving both arithmetic sequence formula and arithmetic series formula
   Find the sum of the arithmetic series: – 4 – 1 + 2 + …. + 329.
3. $t_{n}=s_{n}-s_{n-1}$
   The sum of the first n terms of an arithmetic series is ${s_n} = 7{n^2} - 5n$ .
   1. Find the common difference.
   2. Determine the first six terms of the corresponding arithmetic sequence.
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?