document.write( "Question 1035615: Which of the following series is convergent?\r
\n" ); document.write( "\n" ); document.write( "1 + 1/2^2 + 1/2^4 + 1/2^6 + ...\r
\n" ); document.write( "\n" ); document.write( "2 + 4/2^2 + 8/3^2 + 16/4^2 + ...\r
\n" ); document.write( "\n" ); document.write( "1/2+ 2/3 + 3/4 + 4/5 + ...\r
\n" ); document.write( "\n" ); document.write( "1 + (3/2)^2 + (3/2)^4 + (3/2)^6 + ... \n" ); document.write( "

Algebra.Com's Answer #650293 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since the first one is the only one with decreasing terms...r = 1/4...it converges to
\n" ); document.write( " $\"S%5Bn%5D+=+a%5B1%5D%2F%281-r%29+=+1%2F%281-%281%2F4%29%29+=+1+%2F+%283%2F4%29+=+4%2F3\"$ \n" ); document.write( "

\n" );