Question

Given the arithmetic sequence an = 5 + 2(n − 1), what is the domain for n?




#No - SPAMS!

Answer 1

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The sequence n is a natural number

★We have to find out domain.

For any function, y = f(x) domain is a set, in which function y is defined.

In some way we can say that all value of x in which function is defined is known as domain.

Here,

Domain ∈ Natural number or n ≥ 1

Where, ∈ - the symbol belongs to

That is, domain belong to Natural number or n ≥ 1

Answer 2

Explanation:

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☞Since this is an arithmetic sequence, the first thing to note is that n is both a variable within the definition of the sequence, and it also is the index value too.

☞As an index value, it has to be an integer as there is no such thing as a fractional index. Next, all indexes start from the number 0, because the 0th term is the initial value of the sequence.

☞Therefore, n must also start with 0. All subsequent terms in the sequence are then terms with higher index values, so n will always be greater than or equal to 0. A quick check on the equation will also show that there is no other limiting factor on n.

✭Thus, the correct answer is "All integers where n≥0".