document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164214>Question 1164214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When the terms of a Geometric Progression(G.P) with common ratio r=2 is added to the corresponding terms of an Arithmetic (A.P), a new sequence is formed. If the first terms of the G.P and A.P are the same and the first three terms of the new sequence are 3, 7, and 11 respectively, find the nth term of the new sequence.  </SPAN>\n" );
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document.write( "The statement of the problem is faulty....<br><BR>\n" );
document.write( "We are told that the first terms of the AP and GP are the same; and we are told that the sum of those two terms is 3.  So the first term of each sequence is 3/2.<br><BR>\n" );
document.write( "We are told the common ratio for the GP is 2; so the first three terms of the GP are 3/2, 3, and 6.<br><BR>\n" );
document.write( "We are told the first three terms of the new sequence are 3, 7, and 11.<br><BR>\n" );
document.write( "That means the first three terms of the AP are 3-3/2 = 3/2, 7-3 = 4, and 11-6 = 5.<br><BR>\n" );
document.write( "But 3/2, 4, 5 is not an AP.<br><BR>\n" );
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