document.write( "Question 1167016: What is the general term for sequence 2, -4, 8, -16, 32, ...
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #791587 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "What you see, is a geometric progression with the first term 2 and the common ratio of -2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Notice that due to the fact that the common ratio is negative, the terms change their sign from \"+\" to \"-\" and from \"-\" to \"+\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The general term is   =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You may check it, by calculating first terms using this formula.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "/\/\/\/\/\/\/\/\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My post-solution note specially to tutor @math_helper\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    For our valuable visitors, it is hopeless to expect that they \r\n" );
document.write( "\r\n" );
document.write( "    will guess the formula: for the first time, they should see it . . . \r\n" );
document.write( "\r\n" );
document.write( "    They should see it, when they meet such problem for the first time.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    And it is very normal situation.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    We should be thankful to god, if they will understand our explanations,\r\n" );
document.write( "    after seeing the direct demonstration for the first time . . . \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        It is my personal view to this educational subject.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    And, depending on their age (and the personal mental features), they may need to see such direct demonstration\r\n" );
document.write( "\r\n" );
document.write( "    even SEVERAL times (more that once) . . . \r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );