Question

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

Answer 1

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:

       $a_{n} = a_{1} + (n- 1) d$

• 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.

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