Consider the arithmetic sequence:
3,5,7,9,..,
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n)=3+2n for n≥0
b(n)=3n for n≥1
c(n)=-1+2n for n≥2
d(n)=-6+3n for n≥3

It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".

The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.

Arithmetic sequence formula is given as, [tex]a_{n} =a+(n-1)d[/tex].

Given arithmetic sequence

[tex]3, 5, 7, 9,.....[/tex]

n is an integer

[tex]a = 3[/tex]

By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.

So, the correct option is A

[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex]

Thus, [tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.

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Consider the arithmetic sequence: 3,5,7,9,.., If n is an integer, which of these functions generate the sequence? Choose all answers that apply: a(n)=3+2n for n≥0 b(n)=3n for n≥1 c(n)=-1+2n for n≥2 d(n)=-6+3n for n≥3

Respuesta :

What is arithmetic sequence?

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Consider the arithmetic sequence:
3,5,7,9,..,
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n)=3+2n for n≥0
b(n)=3n for n≥1
c(n)=-1+2n for n≥2
d(n)=-6+3n for n≥3