You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Sevilla in the year 1842. Outside your barracks window there is a stack of cannonballs, as shown in the illustration. On an idle afternoon you decide to calculate how many cannonballs are in the stack. What is the number of cannonballs?
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OpenStudy (anonymous):
OpenStudy (anonymous):
.....
OpenStudy (anonymous):
HELP ME. I'M flutterING RETARDED.
OpenStudy (jack1):
top row = 1 = 1^2
2nd row = 4 = 2^2
3rd row = 9 = 3^2
...are u sensing a pattern here?
how many rows are there...?
OpenStudy (anonymous):
yes and twelve rows
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OpenStudy (jack1):
so the sum would be 1^2 + 2^2 + 3^2 + 4^2...etc to 12^2
and easier way to write this is
n(n+1)(2n+1)/6
so as u have 12 rows, n=12
sub and solve away dude
OpenStudy (anonymous):
I'm a chick but thanks ^_^
OpenStudy (jack1):
i call everyone dude...dude
sorry
OpenStudy (anonymous):
its chill
OpenStudy (jack1):
prefer dudette...?
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OpenStudy (jack1):
;P
OpenStudy (anonymous):
yes :D
OpenStudy (jack1):
so how many cannonballs all up?
OpenStudy (anonymous):
650
OpenStudy (jack1):
spot on dudette!
slaters ;P
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