You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path. a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1. b. What height will the ball be at the top of the sixth path?

Question

campbell_st · Answer

well the sequence is geometric with a 1st term of a1 = 1.5 and common ratio of r =  0.71

so the formula for an term in a geometric sequence is 

$$a_{n} = a_{1} \times r^{n - 1}$$

you know n = 6 so substitute the 3 values and find the height