Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 1/8
n = 7 terms
Since the last term is 8, then
8 = 1/8 × r^(7 - 1)
Multiplying through by 8, it becomes
64 = r^6
Taking the 6th root of both sides of the equation, then
r = 2
The 5 geometric means would be
1/8 × 2 = 1/4
1/4 × 2 = 1/2
1/2 × 2 = 1
1 × 2 = 2
2 × 2 = 4
The sequence is
1/8, 1/4, 1/2, 1, 2, 4, 8
