document.write( "Question 1003493: The sum of the first tow terms of a geometric sequence is 100 time the first term. What is the common ratio?
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Algebra.Com's Answer #620182 by ikleyn(52795)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "What do these words mean: \"the first tow terms\"?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Re-write and re-submit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------- \n" ); document.write( "Comment from student: The sum of the first two terms of a geometric sequence is 100 times the first term. What is the common ratio? \n" ); document.write( "-------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "OK. So, we have \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + a*q = 100*a,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where a is the first term of the geometric progression and q is the common ratio.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides of this equation by a. You will get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 + q = 100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, q = 100 - 1 = 99.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |