document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24940>Question 24940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the definitons of recursive sequence and explicit sequence?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13791 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=13791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IF NTH.TERM OF A SEQUENCE IS EXPRESSED EXPLICITLY AS A FUNCTION OF N THEN WE CALL IT AN EXPLICIT SEQUENCE.FOR EXAMPLE<BR>\n" );
document.write( "TN=N*(N+1)....<BR>\n" );
document.write( "FROM THIS WE CAN FIND ALLTERMS OF SEQUENCE BY JUST SUBSTITUTING DIFFERENT VALUES FOR N FROM 1,2,3....ETC.<BR>\n" );
document.write( "T1=1*2<BR>\n" );
document.write( "T2=2*3<BR>\n" );
document.write( "T3=3*4...ETC.<BR>\n" );
document.write( "ON THE OTHER HAND IF A SEQUENCE IS DEFINED BY RELATING THE N TH. TERM TO (N-1)TH. TERM BY A FORMULA AND ONE OF THE TERMS,USUALLY THE FIRST TERM,IS GIVEN EXPLICITLY,THEN WE CALL IT RECURSIVE SEQUENCE.<BR>\n" );
document.write( "FOR EXAMPLE IF IT IS GIVEN THAT<BR>\n" );
document.write( " TN=2*T(N-1)...AND T1=3,<BR>\n" );
document.write( "THEN WE CAN ONLY FIND THE TERMS OF THE SEQUENCE RECURSIVELY STARTING FROM FIRST TERM OR ANY TERM NEEDED.HERE WE HAVE <BR>\n" );
document.write( "T1=3...GIVEN<BR>\n" );
document.write( "T2=2*T1=2*3<BR>\n" );
document.write( "T3=2*T2=2*(2*3)<BR>\n" );
document.write( "T4=2*T3=2*(2*(2*3))....ETC... </SPAN>\n" );
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