The third term of a Gp is 54 & 7th term is reciprocal of 3rd term find the 5th term

1 answer

ar^2 = 54
ar^6 = 1/54
r^4 = 1/54^2
r^2 = 1/54
a = 54^2

T5 = ar^4 = 54^2 * 1/54^2 = 1

The sequence is

54^2, 54/√54, 54, √54, 1, 1/√54, 1/54 ...