document.write( "Question 1089065: g(1)=−19
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\n" ); document.write( "g(n)=g(n−1)+6
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\n" ); document.write( "Find the explicit formula for g(n). \n" ); document.write( "

Algebra.Com's Answer #703399 by ikleyn(52810) $\"\"$ $\"About$

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document.write( "Thus defined function g(n) represents/describes the arithmetic progression with the first term -19 and the common difference of 6.\r\n" );
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document.write( "Therefore, the general formula for n-th term is\r\n" );
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document.write( "g(n) = - 19 + 6*(n-1),   n = 1, 2, 3, . . . ,\r\n" );
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document.write( "or, which is the same,\r\n" );
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document.write( "g(n) = (-19 - 6) + 6n = 6n - 25,  n = 1, 2, 3, . . . \r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "On arithmetic progression, see the lessons \r
\n" ); document.write( "\n" ); document.write( "There is a bunch of lessons on arithmetic progressions in this site:\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( "    - Mathematical induction and arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - One characteristic property of arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on arithmetic progressions \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Arithmetic progressions\".\r
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