contestada

What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?

an = 8 − 5(n − 1); all integers where n ≥ 1
an = 8 − 5(n − 1); all integers where n ≥ 0
an = 8 − 3(n − 1); all integers where n ≥ 1
an = 8 − 3(n − 1); all integers where n ≥ 0

Respuesta :

Answer:

Option C.

Step-by-step explanation:

It is given that the first term of the arithmetic sequence is 8 and second term is 5.

[tex]a=8[/tex]

[tex]d=5-8=-3[/tex]

We know that the explicit equation of an AP is

[tex]a_n=a+(n-1)d[/tex], where n is an integer greater than or equal to 1.

where, a is first term and d is common difference.

[tex]a_n=8+(n-1)(-3)[/tex]

[tex]a_n=8-3(n-1)[/tex]

So, domain of this explicit equation is all integers where n ≥ 1.

Therefore, the correct option is C.

Otras preguntas