document.write( "Question 267871: Prove by mathematical induction: ∑_(i=1)^n (3^i= 3(3^n-1)/2) \n" ); document.write( "
Algebra.Com's Answer #196786 by Edwin McCravy(20060)\"\" \"About 
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document.write( "\"sum%283%5Ei%2Ci=1%2Cn%29+=+3%283%5En-1%29%2F2%29%0D%0A%0D%0A\"\r\n" );
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document.write( "It's true for n=1, because:\r\n" );
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document.write( "Assume true for any k such that \"1%3C=n%3C=k\"\r\n" );
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document.write( "We want to prove that\r\n" );
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document.write( "\"sum%283%5Ei%2Ci=1%2Ck%2B1%29+=+3%283%5E%28k%2B1%29-1%29%2F2%29\"\r\n" );
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document.write( "Write that as the sum to k (for which we assume the formula holds,\r\n" );
document.write( "plus the (k+1)st term or \"3%5E%28k%2B1%29\"\r\n" );
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document.write( "Edwin
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