document.write( "Question 1165566: Generate the geometric sequence. Give the first 5 terms
\n" ); document.write( "A) First term is 7 and common ratio is 4
\n" ); document.write( "I got the answer 7,28,112,448,1792
\n" ); document.write( "B)First term is 10 and common ratio is -3
\n" ); document.write( "I got the answer 10,-30,90,-270,810
\n" ); document.write( "C)First term is 25 and third term is 900
\n" ); document.write( "I got the answer 25,150,900,5400,32400
\n" ); document.write( "D)First term is 8 and the fourth term is 1000
\n" ); document.write( "I got the answer 8,40,200,1000,5000
\n" ); document.write( "E)First term is -5 and the fifth term is -6480
\n" ); document.write( "I got the answer-5,-30,-180,-1080,-6480
\n" ); document.write( "I’m not quite sure about my answers 😅 did I do something wrong?\r
\n" ); document.write( "\n" ); document.write( "May I ask for your assistance in this two below I don’t quite get on how to get it’s terms because I’m not good at fractions
\n" ); document.write( "F)Fifth term is 3/256 and common ratio is 2
\n" ); document.write( "G)Sixth term is 7/4 and the seventh term is 1/2\r
\n" ); document.write( "\n" ); document.write( "Thank you for your assistance in advance 😁
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Algebra.Com's Answer #790156 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "(C)  Your part (C) is NOT complete.  See how it SHOULD be done.\r\n" );
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document.write( "     First term is 25 and third term is 900.\r\n" );
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document.write( "     It means that  \"a%5B3%5D\" = \"a%5B1%5D%2Ar%5E2\",  where \"r\" is the common ratio.\r\n" );
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document.write( "     Substitute here \"a%5B3%5D\" = 900;  \"a%5B1%5D\" = 25.  You will get\r\n" );
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document.write( "         900 = \"25%2Ar%5E2\"  ---->  \"r%5E2\" = \"900%2F25\" = 36  ---->  r = \"sqrt%2836%29\" = +/- 6.\r\n" );
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document.write( "     It means that r may have TWO values, 6 and -6.\r\n" );
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document.write( "     These two values of \"r\" create TWO DIFFERENT geometric sequences.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The same is with part (E).\r
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document.write( "(E)  Your part (E) is NOT complete.  See how it SHOULD be done.\r\n" );
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document.write( "     First term is -5 and fifth term is -6480.\r\n" );
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document.write( "     It means that  \"a%5B5%5D\" = \"a%5B1%5D%2Ar%5E4\",  where \"r\" is the common ratio.\r\n" );
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document.write( "     Substitute here \"a%5B3%5D\" = -6480;  \"a%5B1%5D\" = -5.  You will get\r\n" );
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document.write( "         -6480 = \"%28-5%29%2Ar%5E4\"  ---->  \"r%5E4\" = \"%28-6480%29%2F%28-5%29\" = 1296  ---->  r = \"root%284%2C1296%29\" = +/- 6.\r\n" );
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document.write( "     It means that r may have TWO values, 6 and -6.   (if we restrict ourselves by real numbers). \r\n" );
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document.write( "     These two values of \"r\" create TWO DIFFERENT geometric sequences.\r\n" );
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\n" ); document.write( "\n" ); document.write( "You may often meet such problems and such questions.\r
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\n" ); document.write( "\n" ); document.write( "Their destination is to check if you are able to analyze the problems accurately.\r
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\n" ); document.write( "\n" ); document.write( "So be aware about it.\r
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