What are the next three terms of the geometric sequence 4, 24, 144, . . ?

144x6=8644th number
864x6=51645th number
5164x6= 311046th number

864,5184,31104 are the next three terms in the geometric sequence

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.