document.write( "Question 1141039: Find the common ratio of the geometric sequence with a first term -7 and a sixth term -1701.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #761577 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "Let the common ratio be r, then we write out the expressions for the first\r\n" ); document.write( "6 terms by starting with -7 and finding each successive term by multiplying\r\n" ); document.write( "the preceding term by r. Then when we get to the sixth one we set it equal\r\n" ); document.write( "to -1701.\r\n" ); document.write( "\r\n" ); document.write( "-7, -7r, -7r2, -7r3, -7r4, -7r5 = -1701 \r\n" ); document.write( "\r\n" ); document.write( "So we solve: \r\n" ); document.write( "\r\n" ); document.write( "-7r5 = -1701 \r\n" ); document.write( "\r\n" ); document.write( "Divide both sides by -7\r\n" ); document.write( "\r\n" ); document.write( "r5 = 243\r\n" ); document.write( "\r\n" ); document.write( "Take 5th roots of both sides:\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |