document.write( "Question 1095381: Good evening, I had a question regarding something that I could not find a topic for in the options. I wanted to get some clarification on explicit and recursive rules. How do you find the explicit rule? How do you find the recursive rule? \n" ); document.write( "

Algebra.Com's Answer #709901 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "1.  Consider an arithmetic progression.\r\n" );
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document.write( "             I assume you know what it is.\r\n" );
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document.write( "    The recursive formula for the (n+1)-th term is   = .\r\n" );
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document.write( "    It express the next term via the preceding one.\r\n" );
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document.write( "    The explicit formula for (n+1)-th term is  = .\r\n" );
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document.write( "2.  Similarly for an geometric progression.\r\n" );
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document.write( "             I assume you know what it is.\r\n" );
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document.write( "    The recursive formula for the (n+1)-th term is   = .\r\n" );
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document.write( "    It express the next term via the preceding one.\r\n" );
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document.write( "    The explicit formula for (n+1)-th term is  = .\r\n" );
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\n" ); document.write( "On arithmetic progression see introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - The proofs of the formulas for arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Problems on arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "On geometric progressions see introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - The proofs of the formulas for geometric progressions \r
\n" ); document.write( "\n" ); document.write( "    - Problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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