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Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n - 1)

a. a1 = 2, an = an+1 - 8

b. a1 = -8, an = an+1 + 2

c. a1 = 2, an = an-1 - 8

d. a1 = -8, an = an-1 + 2

Respuesta :

Answer:

d) a1 = -8, an = an-1 + 2

Step-by-step explanation:

The formule is:

an = a1 + r*(n - 1)

So:

an = -8 + 2(n - 1)

a1 + r*(n - 1) = -8 + 2(n - 1)

⇒ a1 = - 8   ∧ r = 2

Finally:

r = an - an-1

an = 2 + an-1

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