Question

Choose a second initial value that is 0.01 greater than the initial value from question 9. Iterate it using the function, f, ten times. If necessary, you can round your results to the nearest ten-thousandth.

Answer 1

Initial value: 0.5

Answer: 0.501

Iterations:
1. f(0.501) = 0.5020201
2. f(0.5020201) = 0.504060304
3. f(0.504060304) = 0.50609120912
4. f(0.50609120912) = 0.508122418243
5. f(0.508122418243) = 0.510154123686
6. f(0.510154123686) = 0.5121863273727
7. f(0.5121863273727) = 0.51421904145554
8. f(0.51421904145554) = 0.516252255891189
9. f(0.516252255891189) = 0.518285980772378
10. f(0.518285980772378) = 0.520320217114716