Hi everyone, Can you help me to prove that (1-b^(m+1))(-(b+1))/b^2<(1+b+b^2+b^3+...+b^m) in logestic way If you can try to answer me today because I have exam tomorrow in it Thanks for any helping
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Originally Posted by rosana Hi everyone, Can you help me to prove that (1-b^(m+1))(-(b+1))/b^2<(1+b+b^2+b^3+...+b^m) in logestic way If you can try to answer me today because I have exam tomorrow in it Thanks for any helping i'd probably try induction. did you learn mathemtical induction?
Originally Posted by rosana Hi everyone, Can you help me to prove that (1-b^(m+1))(-(b+1))/b^2<(1+b+b^2+b^3+...+b^m) in logestic way If you can try to answer me today because I have exam tomorrow in it Thanks for any helping Do you mean, for : Note that if then it is trivial. Assume that then: If then and hence: Which is true because LHS is negative and RHS is positive. If then and hence*: Thus, Thus, Which is true. *)It also depends when is even or odd, but those a minor details.
it need analysis from us we know that (1+b+b^2+b^3+...+b^m)=(1-b^(m+1))/(1-b) but how to use it think for me please
Originally Posted by rosana it need analysis from us we know that (1+b+b^2+b^3+...+b^m)=(1-b^(m+1))/(1-b) but how to use it think for me please This is the Geometric Sum.
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Originally Posted by rosana you are genios I know and fantastic guy I am the greatest. The world shall bow before my will.
Originally Posted by ThePerfectHacker The world shall bow before my will. Wow. My will merely states that I'm of sound mind and body. (Hard to believe, I know!) Can you send me a copy of your will so I can see how you do that? -Dan
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