Multi-Storey Arithmetic Sequence

The Multi-storey Arithmetic Sequence is an arithmetic sequence which has the same difference each successive tribe after the x level.

Formula of Multi-storey Arithmetic Sequence 

By using the Newton Binomium proof, then the nth term formula for many arithmetic sequences is:

Information :
a = first tribe of the first row
b = first tribe of row of level one
c = first tribe of the second row
d = first tribe of the third row
etc.

Example of Multi-storey Arithmetic Sequence

Please determine the nth term formula of 5, 6, 9, 14, 21, ...!

Answer:

The line above includes a second-level arithmetic row with a = 5, b = 1, c = 2.

So that:

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

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