Question

Чему равен четвёртый член бесконечно убывающей геометрической прогрессии: 2; - 0,5; 0,125…?​

Answer 1

Ответ:

0,03125

Объяснение:

q=-4(знаменатель геометрической прогрессии)

b(4)=0.125÷-4=0,03125

Answer 2

Calculating the Fourth Term of a Geometric Progression

To find the fourth term of an infinitely decreasing geometric progression with the given terms 2, -0.5, 0.125, we can use the formula for the nth term of a geometric progression:

aₙ = a₁ * r^(n-1)

Where: - a₁ is the first term - r is the common ratio - n is the term number

In this case, the first term (a₁) is 2, and the common ratio (r) is -0.5 / 2 = -0.25.

Calculation

Plugging these values into the formula, we get:

a₄ = 2 * (-0.25)^(4-1)

a₄ = 2 * (-0.25)³

a₄ = 2 * (-0.015625)

a₄ = -0.03125

So, the fourth term of the given infinitely decreasing geometric progression is -0.03125.

This calculation is based on the formula for the nth term of a geometric progression