Answer:
99
Explanation:
First strike=25 in
Second strike=4/5*25=20 in
Third strike=4/5*20=16 in
Fourth strike=4/5*16=12.8 in
Fifth strike=4/5*12.8=10.24 in
sixth strike=4/5*10.24=8.192 in
seventh strike=4/5*8.192=6.5536 in
Total=(25+20+16+12.8+10.24+8.192+6.5536) in=98.7856 in
Taking this as a geometric series
[tex]Sum(7)=a\frac{(1-r^{7}}{1-r}[/tex] where a is initial value taken as 25 for this case and r is rate taken as 4/5 or 0.8 in our case
[tex]Sum(7)=25\frac {1-0.8^{7}}{1-0.8}=98.7856 in[/tex]
To the nearest inches, sum is 99 in
