document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156701>Question 1156701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three consecutive terms of a geometric sequence are:\r<BR>\n" );
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document.write( "2a-2,2a+2,5a+1. Determine the value<BR>\n" );
document.write( "of each of the terms. Use these term values to determine the equation(s) for the general term of<BR>\n" );
document.write( "the sequence (tn). (think quadratic) </SPAN>\n" );
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document.write( "In a geometric sequence, the ratio of consecutive terms is constant.  So in this problem,<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285a%2B1%29%2F%282a%2B2%29+=+%282a%2B2%29%2F%282a-2%29 ALIGN=MIDDLE  ALT=\"%285a%2B1%29%2F%282a%2B2%29+=+%282a%2B2%29%2F%282a-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Cross multiply and solve the resulting quadratic equation.<br><BR>\n" );
document.write( "You can finish from there.<br><BR>\n" );
document.write( "(1) Finding the values of the terms....<br><BR>\n" );
document.write( "There will be two solutions, resulting in two different sequences.<br><BR>\n" );
document.write( "(2) Determining the equations for the general terms of the two sequences....<br><BR>\n" );
document.write( "The three consecutive terms in each sequence will only tell us the common ratio between the terms.  Without knowing WHICH terms of the sequence these terms are, we have no way of knowing the first term of the sequence; therefore we can't determine the formula for the sequence.<br><BR>\n" );
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