How do you find the first three iterate of the function f(x)=2x^2−5 for the given initial value x_0=−1?

clasicaacyx

clasicaacyx

Answered question

2022-09-23

How do you find the first three iterate of the function f ( x ) = 2 x 2 - 5 for the given initial value x 0 = - 1 ?

Answer & Explanation

Lorenzo Acosta

Lorenzo Acosta

Beginner2022-09-24Added 13 answers

substitute each previous iterate into f(x)
f ( x 1 ) = 2 x 0 2 - 5 = 2 ( - 1 ) 2 - 5 = - 3
f ( x 2 ) = 2 x 1 2 - 5 = 2 ( - 3 ) 2 - 5 = 13
f ( x 3 ) = 2 x 2 2 - 5 = 2 ( 13 ) 2 - 5 = 333

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