document.write( "Question 1144590: I am stuck can anyone assist\r
\n" ); document.write( "\n" ); document.write( "Use the method of mathematical induction to prove that
\n" ); document.write( "1(5) + 2(5)^2 + 3(5)^3 + ... + n(5)^n =(5 + (4n−1)5n+1)/ 16
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Algebra.Com's Answer #765758 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Prove using induction, that the above is equal to
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document.write( "Base case:
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document.write( "S(1) = 5\r
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document.write( "and \r
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document.write( "Hypothesis:
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document.write( "Assume 
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document.write( "   (*)
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document.write( "holds for n=k.\r
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document.write( "Now let n=k+1:
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document.write( "Re-writing the S(k) term using (*):
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document.write( "Now re-arrange (step-by-step shown):
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document.write( "add and subtract 
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document.write( "finally:
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document.write( "Thus (*) is true for n=k+1\r
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