Question: 6. (10 points) For the bisection method starting with an interval [ao, bo], and generating a sequence of bisecting middle points {co,ci,... ,cn,...!, we have

6. (10 points) For the bisection method starting with an interval

6. (10 points) For the bisection method starting with an interval [ao, bo], and generating a sequence of bisecting middle points {co,ci,... ,cn,...!, we have britan 2 bo - ao n an - ,and . . . Cn = , Show that the sequence en) satisfies bo-ao Hint: Considering the relationship between cn and an+1 or bn+1 in bisection method

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