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1. Which function describes the sequence 2,4,6,8......? *

O F(1) = 2; f(n) = f(n-1) + 2 for n > 2
O F (1) = 2; f(n) = f (n − 1) – 2 for n > 2
OF (1) = 2; f(n − 1) = f (n) + 2 for n > 3
Of(1) = 2; f(n − 1) = f (n) – 2 for n > 3

Respuesta :

MrRoyal

Answer:

[tex]f(1) = 2[/tex]

[tex]f(n) = f(n-1) + 2[/tex] where [tex]n\geq 2[/tex]

Step-by-step explanation:

Given

2,4,6,8...

Required

Which function determines the sequence

Represent the terms with n where n is 1,2,3....

Analyzing each term:

[tex]f(1) = 2[/tex]

[tex]f(2)= 4 = 2 + 2 = f(1) +2[/tex]

[tex]f(3)= 6 = 4 + 2 = f(2) +2[/tex]

[tex]f(4)= 8 = 6 + 2 = f(3) +2[/tex]

Notice that each term is an addition of the previous term and 2

In other words:

[tex]f(n) = f(n-1) + 2[/tex]

However, the function is only effective for values of n greater than or equal to 2

So: [tex]n\geq 2[/tex]

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