Question 1206538
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I will use more standard form for the terms....<br>
{{{t(5)=8t(2)=t(2)*r^3}}}
{{{r^3=8}}}
{{{r=2}}}<br>
{{{t(4)+t(6)=240}}}
{{{t(4)+t(4)*r^2=240}}}
{{{t(4)+4t(4)=240}}}
{{{5t(4)=240}}}
{{{t(4)=48}}}<br>
{{{t(1)=t(4)/r^3=48/8=6}}}<br>
The first term t(1) is 6; the common ratio r is 2.  The sequence is<br>
ANSWER: 6, 12, 24, 48, 96, 192, 384, ...<br>