17.2 Arithmetic series
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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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