document.write( "Question 438222: hi there.\r
\n" ); document.write( "\n" ); document.write( "i need help with this problem: prove the sum of the first n term of a geometric sequence ...
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Algebra.Com's Answer #303106 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
\"S+=+a+%2B+ar+%2B+ar%5E2+\"+...+\"ar%5E%28n-2%29+%2B+ar%5E%28n-1%29\"
\n" ); document.write( "=a(\"1+%2B+r+%2B+r%5E2+\"+...+\"r%5E%28n-2%29+%2B+r%5E%28n-1%29\")\r
\n" ); document.write( "\n" ); document.write( "=a(\"1+%2B+r+%2B+r%5E2+\"+...+\"r%5E%28n-2%29+%2B+r%5E%28n-1%29\")*\"%28%281-r%29%2F%281-r%29%29\"
\n" ); document.write( "=a*\"%281-r%5En%29%2F%281-r%29\"\r
\n" ); document.write( "\n" ); document.write( "This formula is valid only when |r| < 1.
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