document.write( "Question 1023098: Cannot determine the common ratio for:\r
\n" ); document.write( "\n" ); document.write( "Sequence: 4,-9, 16, -25,...\r
\n" ); document.write( "\n" ); document.write( "Series: 1 - 1/4 + 1/9 - 1/25 + ...\r
\n" ); document.write( "\n" ); document.write( "Must create a general term for both, and prove the convergence of the second using the alternating series test. \n" ); document.write( "

Algebra.Com's Answer #638616 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Cannot determine the common ratio for:\r
\n" ); document.write( "\n" ); document.write( "Sequence: 4,-9, 16, -25,...\r
\n" ); document.write( "\n" ); document.write( "Series: 1 - 1/4 + 1/9 - 1/25 + ...\r
\n" ); document.write( "\n" ); document.write( "Must create a general term for both, and prove the convergence of the second using the alternating series test.
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document.write( "1. I can not also.\r\n" );
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document.write( "  They are not Geometric progression. Neither first, nor the second.\r\n" );
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document.write( "2. The general term for the first sequence is , n = 1, 2, 3 . . . \r\n" );
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document.write( "3. The alternating series test says: if  decreases monotonically and    =  when n --> , \r\n" );
document.write( "   then the alternating series converges.\r\n" );
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document.write( "   For your series the condition is valid, so the conclusion is valid too.\r\n" );
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