document.write( "Question 1114197: Find the sum of n terms of a G.P. whose nth term is 3(2)^n-1 \n" ); document.write( "
Algebra.Com's Answer #729204 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Find the sum of n terms of a G.P. whose nth term is \"highlight%28cross%283%282%29%5En-1%29%29\" 3*2^(n-1).
\n" ); document.write( "~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Notice that I edited your post to make it UNAMBIGUOUS.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "The geometric progression is\r\n" );
document.write( "\r\n" );
document.write( "3,  6,  12,   24,  . . . \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The first term  is  \"a%5B1%5D\" = 3   and the common ratio is  r = 2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Apply the general formula for the first n terms of an geometric progression\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"S%5Bn%5D\" = \"a%5B1%5D%2A%28%28r%5En-1%29%2F%28r-1%29%29\" = \"3%2A%28%282%5En-1%29%2F%282-1%29%29\" = \"3%2A%282%5En-1%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The sum of the first n terms of the given progression  is  \"S%5Bn%5D\" = \"3%2A%282%5En-1%29\".\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "----------------
\n" ); document.write( "On geometric progressions, see introductory lessons in this site\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( "\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Geometric progressions\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );