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Mathematics
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rebeccaxhawaii (rebeccaxhawaii):
@agent0smith danno
10 years ago
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rebeccaxhawaii (rebeccaxhawaii):
Planning is crucial in the early stages of this project. Demonstrate how a recursive process will allow you to find the number of coins and points on all levels up to level 5.
10 years ago
OpenStudy (agent0smith):
Arithmetic\[\large a_n =a_{n-1} +3\]and a_1 = 3
Geometric \[\large a_n = 2a_{n-1}\]and a_1 = 2
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
danno ive never seen those before >.<
10 years ago
OpenStudy (agent0smith):
They're recursive
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
can i just use\[a_n=r(a_{n-1})\]
10 years ago
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OpenStudy (agent0smith):
That is exactly what i gave you, for the geometric
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
sorry im a bit slow. okay so we need to find n
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
which is 5
10 years ago
OpenStudy (agent0smith):
We don't need to find n
I think they just want you to use the recursive formula to find the first 5 terms of each
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
ohh we need r
10 years ago
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rebeccaxhawaii (rebeccaxhawaii):
r=2 right?
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
so \[a_5=2(5-1)\]
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
IT DOESNT MAKE SENSE
10 years ago
OpenStudy (agent0smith):
Noo no no no. Recursive formulas mean you plug in one term, to get the next. So plug in a1 to get a2. Then plug in a2 to get a3.
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
\[a_1=2\]\[a_2=2(a_{2-1})=2(a_1)=2(2)=4\]\[a_3=2(a_{3-1})=2(a_2)=2(4)=8\]\[a_4=2(a_{4-1})=2(a_3)=2(8)=16\]\[a_5=2(a_{5-1})=2(a_4)=2(16)=32\]
10 years ago
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OpenStudy (agent0smith):
Good.
You gotta do the arithmetic one, i gave the formula earlier
10 years ago
rebeccaxhawaii (rebeccaxhawaii):
\[a_1=3\]\[a_2=a_{2-1}+2=a_1+2=3+2=5\]\[a_3=a_{3-1}+2=a_2+2=5+2=7\]\[a_4=a_{4-1}+2=a_3+2=7+2=9\]\[a_5=a_{5-1}+2=a_4+2=9+2=11\]
10 years ago
OpenStudy (agent0smith):
Yes
10 years ago
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