Given the arithmetic sequence #a_n=4+8(n-1)#, what is the domain for #n#?

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Apr 28, 2017

Answer:

Domain of #n# is #NN#, the set of natural numbers.

Explanation:

In any sequence, arithmetic, geometric, or harmonic or any other,

#n# represents number of terms, i.e. starting fromm #a_1#, then #a_2# and so on till say #a_n#, which is #n^(th)# term.

As #n# is used to count number of terms, it can take values of only natural numbers.

Hence domain of #n# is #NN#, the set of natural numbers.

Here too #n in NN#.

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