10.3 Arithmetic series

Arithmetic series

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.

Lessons

Notes:
• the sum of nn terms of an arithmetic series:
sn{s_n} = n2[2t1+(n1)d]\frac{n}{2}[2{t_1} + (n - 1)d]
= n2[t1+tn]\frac{n}{2}[{t_1} + {t_n}]
  • 3.
    tn=snsn1t_{n}=s_{n}-s_{n-1}
    The sum of the first n terms of an arithmetic series is sn=7n25n{s_n} = 7{n^2} - 5n .
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Arithmetic series

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