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Arithmetic Sequences

Definition of Arithmetic Sequences

Arithmetic sequences is a sequence that has a fixed difference or difference between two successive tribes.

From the above definition, the sequence of the original numbers is a sequence of arithmetic that has the difference between successive terms = 1, the odd number sequence is an arithmetic sequence that has a difference between successive terms = 2.

Medium sequence of triangle numbers, rows of square numbers and sequences of Fibonacci numbers are not arithmetic sequence because the different each successive tribe is not the same.

Formula of Arithmetic Sequences

Un = a + (n - 1)b

Information :
a = The first tribe
b = Different each tribe
n = Number of order of terms

Example of Arithmetic Sequences

Please determine the n th term formula of 1, 7, 13, 19, 25, ...!

Answer :
a = 1
b = 7 - 1 = 6

Un = 1 + (n - 1)6
Un = 1 + 6n - 6
Un = 6n - 5

Similarly this article.
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The end of word wassalamualaikum wr. wb

Referensi :
  • To'Ali's book math group accounting and sales

Sumber http://matematikaakuntansi.blogspot.com

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