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.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #642189 by ikleyn(52784)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "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.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Use the formula for the n-th term of geometric progression\r\n" );
document.write( "\r\n" );
document.write( "\"a%5Bn%5D\" = \"a%5B1%5D%2Ar%5E%28n-1%29\".\r\n" );
document.write( "\r\n" );
document.write( "With the given data, you have \r\n" );
document.write( "\r\n" );
document.write( "\"1280\" = \"5%2Ar%5E4\"  --->  \"r%5E4\" = \"1280%2F5\" = 256  --->  \"r\" = \"root%284%2C256%29\".\r\n" );
document.write( "\r\n" );
document.write( "This fourth root has 4 values in the complex domain, but if you need only real values, they are +/- 4.\r\n" );
document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" );