document.write( "Question 1026926: The first term of a geometric progression is 5 and the fifth term is 1280 find the common ratio of the progression.?\r
\n" ); document.write( "\n" ); document.write( "Can I be shown step by step please as I need to be explained this in detail as I do not understand.
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Algebra.Com's Answer #642195 by MathTherapy(10552)\"\" \"About 
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The first term of a geometric progression is 5 and the fifth term is 1280 find the common ratio of the progression.?\r
\n" ); document.write( "\n" ); document.write( "Can I be shown step by step please as I need to be explained this in detail as I do not understand.
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The formula for a specific term in a GP is: \"a%5Bn%5D+=+a%5B1%5Dr%5E%28n+-+1%29\", where:
\n" ); document.write( "\"a%5Bn%5D\" is the value of the term
\n" ); document.write( "\"a%5B1%5D\" is the value of the 1st term
\n" ); document.write( "\"n\" is the term number\r
\n" ); document.write( "\n" ); document.write( "For the 5th term, \"a%5Bn%5D+=+a%5B1%5Dr%5E%28n+-+1%29\" becomes:
\n" ); document.write( "\"a%5B5%5D+=+5r%5E%285+-+1%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+%221%2C280%22%2C+%22=%22%2C+5r%5E4%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+%221%2C280%22%2F5%2C+%22=%22%2C+r%5E4%29\"
\n" ); document.write( "\"256+=+r%5E4\"
\n" ); document.write( "\"r+=+root+%284%2C+256%29\"
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