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Yes, it is.
Goemetric sequence : A sequence is a goemetric sequence if an/an-1is the same non-zero number for all natural numbers greater than 1. Arithmetic sequence : A sequence {an} is an arithmetic sequence if an-an-1 is the same number for all natural numbers greater than 1.
Each stair is the same as the one next to it. An arithmetic sequence shows numbers with even spacing (such as 2,4,6 or 5,10,15)
An excellent example of an arithmetic sequence would be: 1, 5, 9, 13, 17, in which the numbers are going up by four, thus having a common difference of four. This fulfills the requirements of an arithmetic sequence - it must have a common difference between all numbers.
It is an arithmetic sequence for which the index goes on and on (and on).