Insert five geometric means between 1/8 and 8. There are supposed to be 2 answers

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

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.