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A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. On your own sheet of paper, draw a tape diagram to represent this situation.

If there are eight more large marbles than small marbles, how many total marbles are in the bag?

N=1,2,3,4,5 a n= 9,18,36,72,144 a recursive rule for the sequence is: f(1)= and f(n)= for n≥2. an explicit rule for the sequence is: f(n)= find a recursive rule and an explicit for the geometric sequence. 768,192,48,12,3,… a recursive rule for the sequence is: f(1)= and f(n)= for n≥2. an explicit rule for the sequence is: f(n)=∙ -1. concept 3: deriving the general forms of geometric sequence rules your turn use the geometric sequence to find a recursive rule and an explicit rule for any geometric sequence. 4,8,16,32,64,… recursive rule for the geometric sequence: f(1)= and f(n)=f(n-1)∙ for n≥2. recursive rule for any geometric sequence: given f(1),f(n)=f(n-1)∙ for n≥2. explicit rule for the geometric sequence: f(n)=∙-1. explicit rule for any geometric sequence: f(n)=∙-1 concept 4: constructing a geometric sequence given two terms your turn find an explicit rule for the sequence using subscript notation. the third term of a geometric sequence is 1/48 and the fifth term of the sequence is 1/432. all the terms of the sequence are positive. the explicit rule for the geometric sequence is