Archaeology: Ireland The archaeological site of Tara is more than 4000 years old. Tradition states that Tara was the seat of the high kings of Ireland. Because of its archaeological importance, Tara has received extensive study (Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish Academy, Dublin). Suppose an archaeologist wants to estimate the density of ferromagnetic artifacts in the Tara region. For this purpose, a random sample of 55 plots, each of size 100 square meters, is used. The number of ferromagnetic artifacts for each plot is determined. Identify the variable.

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