The ratio of the sum of the cubes of an infinitely
decreasing GP to the sum of its squares is \(.... VIDEO
The ratio of the sum of the cubes of an infinitely
\( \mathrm{P} \)
decreasing GP to the sum of its squares is \( 12: 13 \). The sum of the first and second terms is equal to \( 4 / 3 \). If \( a \), \( r \) and \( s_{\infty} \) denote the first term, common ratio and sum of infinity of the \( G P \), then
(1) \( r=1 / 3, a=6 / 5, s_{\infty}=9 / 5 \)
(2) \( r=1 / 3, a=1 \)
(3) \( r=-4 / 3, a=-1 / 3, s_{\infty}=-1 / 7 \)
(4) \( s_{\infty}=3 / 2 \)
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