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What are the explicit equation and domain for an arithmetic sequence with a first term of 6 and a second term of 2?

an = 6 − 2(n − 1); all integers where n ≥ 1
an = 6 − 2(n − 1); all integers where n ≥ 0
an = 6 − 4(n − 1); all integers where n ≥ 0
an = 6 − 4(n − 1); all integers where n ≥ 1

Respuesta :

We are given an arithmetic sequence with
First term, a₁ = 6
Second term, a₂ = 2
Therefore the common difference is d = -4.

The n-th term is
[tex]a_{n} = a_{1} + (n-1)d \\ a_{n} = 6 - 4(n-1), \, for \, n \ge 1 [/tex]

Answer: 
[tex]a_{n} = 6 - 4(n-1);[/tex] all integers where n ≥ 1

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