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.