Question

I don't have a calculator to solve these iterations... I really need help. The non-linear equation is f(x)= 4x - x^2 the intial value for the first one is 2.4 and 2.41 for the second one. Thank you so much!!
f(2.4) = 4x - x^2 =
f2(2.4) = 4x - x^2 =
f3(2.4) = 4x - x^2 =
f4(2.4) = 4x - x^2 =
f5(2.4) = 4x - x^2 =
f6(2.4) = 4x - x^2 =
f7(2.4) = 4x - x^2 =
f8(2.4) = 4x - x^2 =
f9(2.4) = 4x - x^2 =
f10(2.4) = 4x - x^2 =

f(2.41) = 4x - x^2 =
f2(2.41) = 4x - x^2 =
f3(2.41) = 4x - x^2 =
f4(2.41) = 4x - x^2 =
f5(2.41) = 4x - x^2 =
f6(2.41) = 4x - x^2 =
f7(2.41) = 4x - x^2 =
f8(2.41) = 4x - x^2 =
f9(2.41) = 4x - x^2 =
f10(2.41) = 4x - x^2 =

Answer 1

Oh, please. In the first, place, you'd better go out and get a calculator. Or use your phone's calculator.

Or, there are lots of calculators online. google, etc.

wolframalpha.com allows you to give a formula and a value, such as

http://www.wolframalpha.com/input/?i=4x+-+x%5E2,+x%3D2.4

you can see that f(2.4) = 3.84

Then use that for the next iteration. and so on.

Or, use some smarts and find an online iterator. Such as

http://www.calcul.com/show/calculator/recursive?values=[{%22n%22:0,%22value%22:2.4,%22valid%22:true}]&expression=4*f(n-1)-(f(n-1))^2&target=0&endTarget=15&range=true