document.write( "Question 1184936: Given two specific terms of geometric sequence. Find the common ratio and first term. Show the solution. \r
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\n" ); document.write( "\n" ); document.write( "a(2)=4 ; a(5)=32\r
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Algebra.Com's Answer #815674 by MathTherapy(10555)\"\" \"About 
You can put this solution on YOUR website!
Given two specific terms of geometric sequence. Find the common ratio and first term. Show the solution. \r
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\n" ); document.write( "\n" ); document.write( "a(2)=4 ; a(5)=32\r
\n" ); document.write( "\n" ); document.write( "please can you teach me the step by step because I really can't understand T-T
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The easiest method is to calculate r, or common ratio:  \r\n" );
document.write( "This becomes: \"root+%285+-+2%2C+32%2F4%29\", and then: \"matrix%281%2C3%2C+root+%283%2C+8%29%2C+%22=%22%2C+2%29\"\r\n" );
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document.write( "With common ratio being 2, and using the 2nd term, 4, we get: \r\n" );
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document.write( "                                                First term or \"highlight_green%28matrix%281%2C3%2C+a%5B1%5D%2C+%22=%22%2C+2%29%29\"\r\n" );
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document.write( "OR\r\n" );
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document.write( "The LONGER method:\r\n" );
document.write( "Use the equation for a term of a GP, which is: \"matrix%281%2C3%2C+a%5Bn%5D%2C+%22=%22%2C+a%5B1%5Dr%5E%28n+-+1%29%29\", and the 2nd term (4) to find an equation in \"matrix%281%2C3%2C+a%5B1%5D%2C+and%2C+r%29\"\r\n" );
document.write( "Repeat the process but this time, use 5th term (32) to find an equation in \"matrix%281%2C3%2C+a%5B1%5D%2C+and%2C+r%29\"\r\n" );
document.write( "You will then have a system of equations in \"matrix%281%2C3%2C+a%5B1%5D%2C+and%2C+r%29\", which you then solve to get the values of the 1st term (a1), and r, the common ratio.
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