document.write( "Question 1111732: the sum of second term and 3rd terms of geometric sequences is 280 and sum of fifth and sixth term is 4375 determine common ratio and 1st term \n" ); document.write( "

Algebra.Com's Answer #726742 by ikleyn(52790) $\"\"$ $\"About$

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

\r\n" );
document.write( " +  =  +  =  = 280.       (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " +  =  +  =  = 4375.    (2)  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now divide eq(2) by eq(1) (both sides). After canceling common multipliers, you will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " =  = 15.625.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence,  r =  = 2.5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the common difference is  r = 2.5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The equation (1) the becomes\r\n" );
document.write( "\r\n" );
document.write( " = 280,   which implies   =  = 32.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The first term is 32.  The common difference is 2.5.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------
\n" ); document.write( "There is a bunch of lessons on geometric progressions 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( "    - One characteristic property of geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Fresh, sweet and crispy problem on arithmetic and geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Mathematical induction and geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Mathematical induction for sequences other than arithmetic or geometric\r
\n" ); document.write( "
\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" );