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Use mathematical induction to prove that the statement is true for every positive integer n. Show your work.
\n" ); document.write( "2 is a factor of n2 - n + 2
\n" ); document.write( "pls give step by step answer
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\n" ); document.write( "1st:: Show it is true for n = 1::
\n" ); document.write( "1^2 - 1 + 2 = 2
\n" ); document.write( "true
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\n" ); document.write( "2nd:: Assume it is true for n = k::
\n" ); document.write( "2 is a factor of k^2-k+2
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\n" ); document.write( "3rd:: Then prove is must be true for n = k+1
\n" ); document.write( "(k+1)^2 - (k+1) +2 = k^2 + 2k+1 -k-1+2
\n" ); document.write( "= [k^2 -k +2] + [2k+1-1]
\n" ); document.write( "= [k^2-k+2]+[2k]
\n" ); document.write( "Divisible be 2 because k^2-k+2 is divisible be 2
\n" ); document.write( "and 2k is divisible by 2.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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