document.write( "Question 955913: Find all values of x so that 6x, 4x-1, x^2-1 will be ab arithmetic sequence.\r
\n" ); document.write( "\n" ); document.write( "Here is what I did:
\n" ); document.write( "6x/a1, 4x-1/a2, x^2-1/a3
\n" ); document.write( "a2 - a1 = a3 - a2
\n" ); document.write( "(4x-1) - (6x) = (x^2-1) - (4x-1)
\n" ); document.write( "4x-1-6x = x^2-1-4x+1
\n" ); document.write( "-1-2x = x^2 - 4x
\n" ); document.write( "0 = x^2 - 4x +2x + 1
\n" ); document.write( "0 = x^2 - 2x + 1
\n" ); document.write( "0 = (x-1)(x-1) ..... from here, what do I do now to get the value of x? Am I on the right track? \n" ); document.write( "
Algebra.Com's Answer #583972 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find all values of x so that 6x, 4x-1, x^2-1 will be ab arithmetic sequence.
\n" ); document.write( "------
\n" ); document.write( "If they form an arithmetic sequence, the pairs must have a common difference.
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\n" ); document.write( "Equation:
\n" ); document.write( "difference of the 1st pair = difference of the 2nd pair
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\n" ); document.write( "(4x-1)-6x = (x^2-1)-(4x-1)
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\n" ); document.write( "-2x-1 = x^2-4x
\n" ); document.write( "----
\n" ); document.write( "x^2 - 2x + 1 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x-1)^2 = 0
\n" ); document.write( "x = 1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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