The second and fifth term of a geometric progression are 1 and⅛ respectively find the common ratio
Let the first term of the geometric progression be a and the common ratio be r.
Then, according to the given information:
Second term = ar = 1
Fifth term = ar^4 = 1/8
Dividing the fifth term by the second term, we get:
(ar^4)/(ar) = 1/8
Simplifying, we get:
r^3 = 1/8
Taking the cube root of both sides, we get:
r = 1/2
Therefore, the common ratio is 1/2.