Respuesta :

Answer:

Step-by-step explanation:

This is an arith. sequence.

The first term is 3 and the common difference is 1

Thus, the general formula for the nth term of this sequence is:

a(n) = 3 + 1(n - 1)   This matches Answer A

ANSWER

[tex]a_n=2+ n[/tex]

EXPLANATION

The given sequence has terms:

3, 4, 5, 6, 7, ...

The first term is

[tex]a_1=3[/tex]

The constant difference is

d=4-3=1

The general term is given by:

[tex]a_n=a_1 + d(n - 1)[/tex]

Substitute the first term and the common difference to get,

[tex]a_n=3+ 1(n - 1)[/tex]

Expand:

[tex]a_n=3+ n - 1[/tex]

[tex]a_n=2+ n[/tex]

The first choice is correct.