Question

Знайдіть суму нескінченної геометричної прогресії 4; 4/3; 4/9; ...​

Answer 1

Відповідь:

Пояснення:

Answer 2

Объяснение:

т.к. знаменатель прогрессии q=(4/3)/4=(4/9)/(4/3)=1/3

I1/3I<1, то нужно использовать формулу s=b₁/(1-q)

b₁=4

значит, s=4/(1-1/3)=4*3/2=6

ответ 6

Answer 3

Finding the Sum of an Infinite Geometric Progression

To find the sum of an infinite geometric progression, we can use the formula:

Sum = a / (1 - r)

Where: - a = the first term of the progression - r = the common ratio

In this case, the first term (a) is 4, and the common ratio (r) is 4/3.

Calculating the Sum

Using the formula, we can calculate the sum of the given infinite geometric progression:

Sum = 4 / (1 - 4/3)

Solving for the sum:

Sum = 4 / (1/3) = 4 * 3 = 12

So, the sum of the infinite geometric progression 4, 4/3, 4/9, ... is 12. [[1]]