Page 16 - Practicum 5_Buku Digital Flip pdf_Grace Margareth_Arithmetic Sequence and Series Grade XI
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Mathematics Teaching Material Sequence and Series Grade XI
Why should the arrangement of triangles, try to do with the arrangement of
rectangles. What did you find?
The number of circles composed of each group can be written as numbers, namely
1,3,6,10,15,... The numbers form a sequence.
Look at the pattern in the following figure.
Picture: Arrangement Pattern of Many Oranges in a Pile
It turns out that the difference between any two adjacent numbers forms a new sequence,
namely 2,3,4,5,…
Look at the schematic in the following image.
Picture: Derivative Pattern of Many Oranges in a Pile
The difference between any two adjacent numbers in the sequence 2,3,4,5,... is constant,
namely 1. Thus the sequence 2,3,4,5,... is called an "Arithmetic Sequence".
From the problems above, it is obtained that:
DEFINITION
If there is a certain pattern (rule) between the terms in the sequence, namely the
difference between two consecutive terms is always constant, then the sequence of
numbers is called an Arithmetic Sequence.
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