Question 120067
d1=80
d2=d1+0.60d1=1.6d1
d3=d2+0.60d2=1.6d2
d4=d3+0.60d3=1.6d3
d5=d4+0.60d4=1.6d4
{{{d[n]=1.6*d[(n-1)]=1.6^2*d[(n-2)]=1.6^3*d[(n-3)]}}}
{{{d[n]=1.6^(n-1) d[1]}}}
{{{d[6]=1.6^(6-1) 80}}}
{{{d[6]=(10.48576) 80}}}
{{{d[6]=839}}}
The balloon travels 839 feet high.