document.write( "Question 1141229: please help me with prove of mathematical induction of this question 1+r+r^2+r^3+....+r^n =1-r^n+1÷1-r. \n" ); document.write( "

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please help me with prove of mathematical induction of this question 1+r+r^2+r^3+....+r^n =1-r^n+1÷1-r.
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document.write( "Please help me prove by mathematical induction:
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document.write( "  +....+ \r
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document.write( "NOTE that    ( of course)\r
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document.write( "n=1:  LHS:   
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document.write( "      RHS:     (ok for n=1)\r
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document.write( "n=k:  Hypothesis is:   +...+  = \r
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document.write( "Let n=k+1:  Must show LHS for n=k+1 leads to :\r
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document.write( "     LHS:   +...+ 
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document.write( "           Apply hypothesis to all but  term:
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document.write( "         =    \r
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document.write( "           Put everything over :
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document.write( "         =  \r
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document.write( "           Simplifying (showing steps):
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document.write( "         =     \r
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document.write( "         =     \r
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document.write( "         =     \r
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document.write( "     DONE.   We've shown assuming truth for n=k  implies   truth for n=k+1.\r
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