Question

Drag each tile to the correct box. Not all tiles will be used.

Answer 1

Answer:

$f(2)=22$

$f(3)=48.4$

$f(4)=106.48$

Step-by-step explanation:

The given function is defined recursively by;

$f(1)=10$

$f(n)=2.2\times f(n-1)$

When n=2,

$f(2)=2.2\times f(2-1)$

$f(2)=2.2\times f(1)$

$f(2)=2.2\times 10$

$f(2)=22$

When n=3,

$f(3)=2.2\times f(3-1)$

$f(3)=2.2\times f(2)$

$f(3)=2.2\times 22$

$f(3)=48.4$

When n=4,

$f(3)=2.2\times f(4-1)$

$f(4)=2.2\times f(3)$

$f(4)=2.2\times 48.4$

$f(4)=106.48$

Answer 2

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