Вопрос:

If n approaches +∞, then the elements of the progression approach:

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Ответ:

This problem is about a geometric progression. We are given that the absolute value of the common ratio |q| is less than 1, specifically |q| = 1/4 < 1.

In a geometric progression, if the absolute value of the common ratio |q| is less than 1, then as n (the term number) approaches infinity, the terms of the progression approach 0.

The given terms b5 = 1/16, b6 = 1/64, and b7 = 1/256 are consistent with a geometric progression where q = 1/4. For example, b6 = b5 * q = (1/16) * (1/4) = 1/64.

Therefore, as n approaches +∞, the elements of the progression tend towards 0.

Answer: 0

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