For which values of n will any set of 7 consecutive integers, each raised to the power of n and added together, give a total which divides by 7? (without using programming and explained very easy, enough for someone in year 7 to understand pls)

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.