SOLUTION: One minute after it is released, a hot air balloon rose 80 feet. In each succeeding minute the balloon rose only 60% as far as it rose in the previous minute. How far will the bal

Algebra ->  Sequences-and-series -> SOLUTION: One minute after it is released, a hot air balloon rose 80 feet. In each succeeding minute the balloon rose only 60% as far as it rose in the previous minute. How far will the bal      Log On


   



Question 120067: One minute after it is released, a hot air balloon rose 80 feet. In each succeeding minute the balloon rose only 60% as far as it rose in the previous minute. How far will the balloon rise in 6 minutes?
Solve using a geometeric or arithmetic formula for squence or series.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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%5Bn%5D=1.6%2Ad%5B%28n-1%29%5D=1.6%5E2%2Ad%5B%28n-2%29%5D=1.6%5E3%2Ad%5B%28n-3%29%5D
d%5Bn%5D=1.6%5E%28n-1%29+d%5B1%5D
d%5B6%5D=1.6%5E%286-1%29+80
d%5B6%5D=%2810.48576%29+80
d%5B6%5D=839
The balloon travels 839 feet high.