What is the 6th term of the following geometric sequence? 42, 6

I GUESS YOU ARE GIVING THE FIRST 2 NUMBER OF THE SEQUENCE.
If so, the common ratio is r =6/42 and r=1/7.
Calculate the 6th term of this geometric sequence.

If the 1st term is 42, the common ratio = 1/7 and the number of term =6,
then we can apply the formula:
a(n) = a₁(r)ⁿ-1

a₆ = 42(1/7)⁵; a₆ = 42/(7⁵) = 42/16807, simplify numerator & denominator by 7

final answer a₆ = 6/2401

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.