Question

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

Answer 1

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.

$a=8$

$d=5-8=-3$

We know that the explicit equation of an AP is

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

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

$a_n=8+(n-1)(-3)$

$a_n=8-3(n-1)$

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

Therefore, the correct option is C.