document.write( "Question 988607: The fourth term of a geometric progression exceeds the third term by 54, and the sum of the second and third term is 36. Find the common ratio if it is positive \n" ); document.write( "

Algebra.Com's Answer #609192 by MathTherapy(10552) $\"\"$ $\"About$

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The fourth term of a geometric progression exceeds the third term by 54, and the sum of the second and third term is 36. Find the common ratio if it is positive
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Since , then , , and \r
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document.write( "Since  exceeds  by 54, then we can say that:  
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document.write( " ---------- eq (i)\r
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document.write( "Since the sum of  and  is 36, then we can say that: 
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document.write( " --------- eq (ii)\r
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document.write( "Since  and , we can then say that: 
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document.write( " ------ Cross-multiplying
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document.write( " -------- Factoring out GCF, 18
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document.write( "(r - 3)(2r + 1) = 0
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document.write( "Common ratio, or 		OR           (ignore, since r MUST be > 0) \n" );
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