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Drag each tile to the correct box. Not all tiles will be used.
Consider the recursively defined function below.

f(1)=10
f(n)=2.2 * f(n-1), for n= 2,3,4.......

Create the first five terms of the sequence defined by the given function.

Drag each tile to the correct box Not all tiles will be used Consider the recursively defined function below f110 fn22 fn1 for n 234 Create the first five terms class=

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Answer:

[tex]f(2)=22[/tex]

[tex]f(3)=48.4[/tex]

[tex]f(4)=106.48[/tex]

Step-by-step explanation:

The given function is defined recursively by;

[tex]f(1)=10[/tex]

[tex]f(n)=2.2\times f(n-1)[/tex]

When n=2,

[tex]f(2)=2.2\times f(2-1)[/tex]

[tex]f(2)=2.2\times f(1)[/tex]

[tex]f(2)=2.2\times 10[/tex]

[tex]f(2)=22[/tex]

When n=3,

[tex]f(3)=2.2\times f(3-1)[/tex]

[tex]f(3)=2.2\times f(2)[/tex]

[tex]f(3)=2.2\times 22[/tex]

[tex]f(3)=48.4[/tex]

When n=4,

[tex]f(3)=2.2\times f(4-1)[/tex]

[tex]f(4)=2.2\times f(3)[/tex]

[tex]f(4)=2.2\times 48.4[/tex]

[tex]f(4)=106.48[/tex]

Answer:

f(2) = 22  f(3) = 48.4 and f(4) = 106.48

Step-by-step explanation:

Recursively defined function is f(n) = 2.2 [ f(n-1) ] Here, f(1) = 10 then we have to create the first three terms of the sequence defined by the function.

Since f(1) = 10

f(2) = 2.2 [ f (2-1) ] = 2.2 [ f (1) ]

     = 2.2 × 10 = 22

f (3) = 2.2 [ f (3-1)] = 2.2 × [ f (2) ]

      = 2.2 × 22 = 48.4

f(4)  = 2.2 [ f(4-1) ] = 2.2 [ f(3) ]

     = 2.2 × 48.4 = 106.48

Answer is f(2) = 22  f(3) = 48.4 and f(4) = 106.48

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