document.write( "Question 1189812: A sequence has a term 0 of 125 and was decreasing by 6%. What is the explicit equation for this sequence?
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Algebra.Com's Answer #821293 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "A sequence has a term 0 of 125 and was decreasing by 6%. What is the explicit equation for this sequence?
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document.write( "As described, this sequence is a geometric progression with the starting term   = 125 and \r\n" );
document.write( "the starting index \"0\" (zero). The common ratio of the progression is r = 1-0.06 = 0.94.\r\n" );
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document.write( "Had it have a starting index 1, an explicit formula would be \r\n" );
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document.write( "     = .\r\n" );
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document.write( "But since our starting index is 0 (shifted one unit to the left), an explicit formula for the n-th term \r\n" );
document.write( "of our sequence takes the form \r\n" );
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document.write( "     = .    ANSWER\r\n" );
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document.write( "CHECK.  To check, calculate several starting terms using the formula and then compare the results \r\n" );
document.write( "        with the description\r\n" );
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document.write( "         = ;   = ;   = .\r\n" );
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document.write( "        It is consisted with the wording description.\r\n" );
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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
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