document.write( "Question 1179832: If f(1)=3 and f(n)=āˆ’4f(nāˆ’1) then find the value of f(5). \n" ); document.write( "
Algebra.Com's Answer #809427 by ikleyn(52790)\"\" \"About 
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\n" ); document.write( "If f(1)=3 and f(n)=āˆ’4f(nāˆ’1) then find the value of f(5).
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document.write( "f(2) = according to the formula = -4*f(1) = -4*3 = - 12.\r\n" );
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document.write( "f(3) = -4*f(2) = -4*(-12) = 48.\r\n" );
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document.write( "f(4) = -4*f(3) = -4*48 = -192.\r\n" );
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document.write( "f(5) = -4*f(4) = -4*(-192) = 768.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The problem is just solved and the answer is obtained, so the assignment is completed.\r
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\n" ); document.write( "\n" ); document.write( "                For your better understanding, you must learn two things.\r
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\n" ); document.write( "\n" ); document.write( "One thing is that you have a recursive  (or recurrent)  formula,  so you can move forward,  using it,  as far as you want.\r
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\n" ); document.write( "\n" ); document.write( "Each next step is easy and uses the values,  that you just obtained in your previous steps.\r
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\n" ); document.write( "\n" ); document.write( "The other thing is that this simple recursive formula determines nothing else as the  GEOMETRIC  progression.\r
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\n" ); document.write( "\n" ); document.write( "By knowing it,  you may wright the  EXPLICIT  formula for the  n-th term:\r
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\n" ); document.write( "\n" ); document.write( "                     f(n) = \"3%2A%28-4%29%5E%28n-1%29\".\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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\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
\n" ); document.write( "\"Geometric progressions\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "            Do not forget to post your  \"THANKS\"  to me for my teaching.\r
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