5. Recursion and Iteration
Sign In
Use the initial value as the input of a function rule. This will give us the first output value.
-52, -420, -3364
We are asked to write the first three iterates of a function, given a function rule and an initial value.
| n | x_n | f(x)=8x-4 | x_(n+1) |
|---|---|---|---|
| 0 | x_0= -6 | 8 x_0-4=8( -6)-4 | -52 |
| 1 | x_1= -52 | 8 x_1-4=8( -52)-4 | -420 |
| 2 | x_2= -420 | 8 x_2-4=8( -420)-4 | -3364 |
| 3 | x_3= -3364 | - | - |
Therefore, the first three iterates of the functions are -52, -420 and -3364.