Respuesta :

What is sequence ?

  • A sequence is a set of the objects or numbers in a specific order.
  • It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}
  • Sequence and series is one of the basic topics in Arithmetic.
  • An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements.
  • An arithmetic progression is one of the common examples of sequence and series.

"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."  

The general form an arithmetic sequence is:

       [tex]a_{n} = a_{1} + (n- 1) d[/tex]

  • The function is linear.
  • The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.

So, the statement provided is True.

Learn more about arithmetic sequence

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