If the 2nd term of a geometri progression is 6 and 4Th term is 54 find the 1st term and 5Th term

Answer 1

Just apply the given data to our definitions:
ar = 6
ar^3 = 54

divide the 2nd by the first
ar^3/(ar) = 54/6
r^2 = 9
r = ± 3

go back to ar = 6
if r = 3, 3a = 6, a = 2
if r = -3, -3a = 6, a = -2

5th term = ar^4 = ..... , remember there are 2 cases.