katieannnelson
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Use the recursive formula f(n) = 0.5 ⋅ f(n − 1) + 10 to determine the 2nd term if f(1) = 4.

A. f(2) = 11.5
B. f(2) = 12.0
C. f(2) = 12.5
D. f(2) = 13.0

Respuesta :

calculista

Answer:

Option B. f(2) = 12.0

Step-by-step explanation:

we have

[tex]f(n)=0.5f(n-1)+10[/tex]

we know that

The second term is f(2)

For n=2

substitute the value of n in the formula

[tex]f(2)=0.5f(2-1)+10[/tex]

[tex]f(2)=0.5f(1)+10[/tex]

we have

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

substitute

[tex]f(2)=0.5(4)+10[/tex]

[tex]f(2)=12.0[/tex]

Answer:

Option B. f(2) = 12.0

Step-by-step explanation:

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