Question

Выписано несколько последовательных членов геометрической прогрессии 0.8 , X , 20. -100. Найдите член прогрессии обазначенный за X

Answer 1

средний член геом прогрессии (вн^2=в(н-1)*в(н=1))

 

х^2=0,8*20=16

х^2=16

x=4

Answer 2

1) q=-100/20=-5

2) 0.8 * -5=-4

Answer 3

Finding the Missing Term in a Geometric Progression

To find the missing term in the given geometric progression, we can use the formula for the nth term of a geometric progression:

nth term = a * r^(n-1)

Where: - a is the first term of the progression, - r is the common ratio, and - n is the position of the term in the progression.

In this case, we are given the following terms of the geometric progression: 0.8, X, 20, -100. We need to find the value of X.

Let's assign the values: - a = 0.8 (the first term) - r = (X / 0.8) (the common ratio) - n = 2 (the position of the missing term)

Using the formula, we can write the equation as:

X = 0.8 * (X / 0.8)^(2-1)

Simplifying the equation, we get:

X = X

This means that the missing term, X, can have any value. There is no unique solution for X based on the given information.

Please let me know if there's anything else I can help you with!