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Mathematics 10 Online
rebeccaxhawaii (rebeccaxhawaii):

@agent0smith danno

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.

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

rebeccaxhawaii (rebeccaxhawaii):

danno ive never seen those before >.<

OpenStudy (agent0smith):

They're recursive

rebeccaxhawaii (rebeccaxhawaii):

can i just use\[a_n=r(a_{n-1})\]

OpenStudy (agent0smith):

That is exactly what i gave you, for the geometric

rebeccaxhawaii (rebeccaxhawaii):

sorry im a bit slow. okay so we need to find n

rebeccaxhawaii (rebeccaxhawaii):

which is 5

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

rebeccaxhawaii (rebeccaxhawaii):

ohh we need r

rebeccaxhawaii (rebeccaxhawaii):

r=2 right?

rebeccaxhawaii (rebeccaxhawaii):

so \[a_5=2(5-1)\]

rebeccaxhawaii (rebeccaxhawaii):

IT DOESNT MAKE SENSE

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.

rebeccaxhawaii (rebeccaxhawaii):

\[a_1=2\]\[a_2=2(a_{2-1})=2(a_1)=2(2)=4\]\[a_3=2(a_{3-1})=2(a_2)=2(4)=8\]\[a_4=2(a_{4-1})=2(a_3)=2(8)=16\]\[a_5=2(a_{5-1})=2(a_4)=2(16)=32\]

OpenStudy (agent0smith):

Good. You gotta do the arithmetic one, i gave the formula earlier

rebeccaxhawaii (rebeccaxhawaii):

\[a_1=3\]\[a_2=a_{2-1}+2=a_1+2=3+2=5\]\[a_3=a_{3-1}+2=a_2+2=5+2=7\]\[a_4=a_{4-1}+2=a_3+2=7+2=9\]\[a_5=a_{5-1}+2=a_4+2=9+2=11\]

OpenStudy (agent0smith):

Yes

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