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PATTERNS, FUR1 2013 VCAA 4 MC

The vertical distance, in m, that a hot air balloon rises in each successive minute of its flight is given by the geometric sequence

`64.0,\ \ 60.8,\ \  57.76\ …`

The total vertical distance, in m, that the balloon rises in the first 10 minutes of its flight is closest to

A.   `38`   

B.   `40`  

C.  `473` 

D.  `514`  

E. `1280`  

Show Answers Only

`D`

Show Worked Solution

`text(Series 64.0, 60.8, 57.76 …)`

`text(GP where)\ \  a` `=64.0`
`r` `=60.8/64.0=0.95`
`S_n` `=(a(1-r^n))/(1−r)` 
`S_10` `=(64 (1−0.95^10))/(1−0.95)`  
  `=513.616…`

`=> D`

Filed Under: APs and GPs - MC Tagged With: Band 4

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