5. Recursion and Iteration
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Use the initial value as the input of a function rule. This will give us the first output value.
-29, -229, -1829
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+3 | x_(n+1) |
|---|---|---|---|
| 0 | x_0= -4 | 8 x_0+3=8( -4)+3 | -29 |
| 1 | x_1= -29 | 8 x_1+3=8( -29)+3 | -229 |
| 2 | x_2= -229 | 8 x_2+3=8( -229)+3 | -1829 |
| 3 | x_3= -1829 | - | - |
Therefore, the first three iterates of the function are -29, -229 and -1829.