document.write( "Question 851565: In an a.p, the sum of first 11 terms is 44 and that of next 11 terms is 55 find the first term and common diffrence \n" ); document.write( "

Algebra.Com's Answer #512863 by richwmiller(17219) $\"\"$ $\"About$

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S = ½(2a1 + d(n-1))n
\n" ); document.write( "44 = ½(2a + d(10))11,
\n" ); document.write( "8=2a+10d\r
\n" ); document.write( "\n" ); document.write( "9 = (2a + d(21))
\n" ); document.write( "9=2a+21d,
\n" ); document.write( "8=2a+10d
\n" ); document.write( "9=21d
\n" ); document.write( "8=10d
\n" ); document.write( "1=11d
\n" ); document.write( "1/11=d
\n" ); document.write( "8=2a+10d
\n" ); document.write( "8=2a+10/11\r
\n" ); document.write( "\n" ); document.write( "4=a+5/11
\n" ); document.write( "39/11=a
\n" ); document.write( "first term is 39/11
\n" ); document.write( "difference is 10/11
\n" ); document.write( "check
\n" ); document.write( "44 = ½(2a + d(10))11
\n" ); document.write( "44=1/2(2*39/11+10/11)*11
\n" ); document.write( "ok\r
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