Arithmetic series
Examples
Lessons
- Arithmetic series formula
Determine the sum of the first ten terms of the arithmetic series: 6 + 1 – 4 – 9 – … . - Problem involving both arithmetic sequence formula and arithmetic series formula
Find the sum of the arithmetic series: – 4 – 1 + 2 + …. + 329. - tn=sn−sn−1
The sum of the first n terms of an arithmetic series is sn=7n2−5n . - 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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Topic Notes
An arithmetic series is the sum of an arithmetic sequence. In this lesson, we will learn how to solve problems using the arithmetic series formula.
• the sum of n terms of an arithmetic series:
sn= 2n[2t1+(n−1)d]
= 2n[t1+tn]
sn= 2n[2t1+(n−1)d]
= 2n[t1+tn]
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