Question

120 x 7,5 1.875 геометрическая прогрессия найди x

Answer 1

Ответ: 30

Объяснение:

1,875/7,5=1/4

120+1/4=30

Answer 2

To find the missing term in a geometric progression, we need to have at least two consecutive terms. In your case, you have the first term (120) and the third term (1,875). Let's use this information to find the common ratio (x) and then calculate the missing term.

In a geometric progression, the ratio between any two consecutive terms is constant. We can use this property to find the common ratio (x).

The formula for finding the nth term of a geometric progression is given by:

an = a1 * r^(n-1)

where: an is the nth term, a1 is the first term, r is the common ratio, and n is the position of the term in the progression.

Using the information given, we have: a1 = 120 a3 = 1,875

We can substitute these values into the formula:

a3 = a1 * r^(3-1)

1,875 = 120 * r^2

To solve for r, divide both sides of the equation by 120:

r^2 = 1,875 / 120

r^2 ≈ 15.625

Taking the square root of both sides, we find:

r ≈ √15.625

r ≈ 3.95

Now that we have the common ratio (x ≈ 3.95), we can find the missing term by plugging it back into the formula:

a2 = a1 * r^(2-1) a2 = 120 * 3.95

a2 ≈ 474

Therefore, the missing term in the geometric progression is approximately 474.