document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161201>Question 1161201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The arithmetic sequences 1, 5,  9, 13,... and  1, 8, 15, 22,... have infinitely many terms in common. Calculate the sum of the first three common terms. </SPAN>\n" );
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document.write( "The two arithmetic sequence have the term 1 in common.<br><BR>\n" );
document.write( "The common differences in the two sequences are 4 and 7.<br><BR>\n" );
document.write( "The sequence of terms that are common to both sequences will be an arithmetic sequence with a common difference of 28, which is the LCM of 4 and 7.<br><BR>\n" );
document.write( "So the second term common to both sequences is 1+28 = 29.<br><BR>\n" );
document.write( "The sum of the first three terms of the sequence of terms common to the two given sequences is 3 times the second term of the sequence.<br><BR>\n" );
document.write( "ANSWER: 3*29 = 87<br><BR>\n" );
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