Page 20 - Practicum 5_Buku Digital Flip pdf_Grace Margareth_Arithmetic Sequence and Series Grade XI

Mathematics Teaching Material Sequence and Series Grade XI

2. Arithmetic Series

Arithmetic series is related to arithmetic sequences. Arithmetic series symbolized by is the

sum of the first n terms of an arithmetic sequence. In other words, the sum of the terms of an

arithmetic sequence is called an arithmetic series.If the arithmetic sequence isU , U , , …
1
2
,U U then the arithmetic series ..., .U + U + U + +U
1
2
n
3
3 n

DEFINITION

Arithmetic progressionis the sum of the numbers in a known arithmetic sequence.

The formula for determining the terms of an arithmetic series

So,
n n

S = [2a + (n − 1)b] orS = [a + U ]
n
2 n 2 n
Description : Un = Series/Number of arithmetic sequences

= Order of term

= First term

= Difference or difference between term

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