document.write( "Question 1044781: The seventh term of an arithmetic sequence is 1/2 and the 14th term is 6. What is the tenth term? \n" ); document.write( "

Algebra.Com's Answer #660159 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "The seventh term of an arithmetic sequence is 1/2.
\n" ); document.write( "1/2 =a1 + (7 - 1)d
\n" ); document.write( "The 14th term is 6
\n" ); document.write( "6 = a1 + (14 - 1)d
\n" ); document.write( "...............
\n" ); document.write( "1/2 = a1 + 6d......(1)
\n" ); document.write( "6 = a1 + 13d.......(2)
\n" ); document.write( "Subtract Eq(1) from Eq(2)
\n" ); document.write( "11/2 = 7d
\n" ); document.write( "d = 11/14.
\n" ); document.write( "Substitute d = 11/14 into Eq(1)
\n" ); document.write( "1/2 = a1 + 6d......(1)
\n" ); document.write( "1/2 = a1 + 6(11/14)
\n" ); document.write( "1/2 =a1 + 66/14
\n" ); document.write( "a1 = 1/2 - 66/14
\n" ); document.write( "a1 = -59/14
\n" ); document.write( ".........
\n" ); document.write( "Tenth term =
\n" ); document.write( "a1 + (10-1)d
\n" ); document.write( "-59/14 + 9(11/14)
\n" ); document.write( "-59/14 + 99/14
\n" ); document.write( "= 40/14 = 20/7
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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