document.write( "Question 51322: Between 2 numbers whose sum is 13/6,an even number of arithmetic mean's are inserted,the sum of these numbers exceeds their number by unity,how many means are there? \n" ); document.write( "

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Between 2 numbers whose sum is 13/6,an even number of arithmetic mean's are inserted,the sum of these numbers exceeds their number by unity,how many means are there?
\n" ); document.write( "let the numbers be A AND 13/6-A=(13-6A)/6
\n" ); document.write( "LET 2N MEANS BE INSERTED
\n" ); document.write( "SUM OF THE 2N+2 TERMS =(NUMBER OF TERMS/2)(FIRST TERM+LAST TERM)=
\n" ); document.write( "{(2N+2)/2}{13/6}=13(N+1)/6
\n" ); document.write( "SUM OF 2N MEANS = SUM OF 2N+2 TERMS - SUM OF FIRST & LAST TERMS =
\n" ); document.write( "= 13(N+1)/6 - 13/6 = 13N/6
\n" ); document.write( "THIS IS MORE THAN THEIR NUMBER 2N BY 1 = 2N+1
\n" ); document.write( "13N/6 = 2N+1
\n" ); document.write( "13N=12N+6
\n" ); document.write( "N=6
\n" ); document.write( " \n" ); document.write( "

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