Question

Срочно надо. При каком значении х выражений х+1, х+5 и 2х+4 будут последовательными членами геометрической прогрессии ? Найдите член этой прогрессии .

Answer 1

Решение задания смотри на фотографии

Answer 2

Finding the Common Ratio

To determine if the expressions x, x+1, and 2x+4 form a geometric progression, we need to find the common ratio between consecutive terms. In a geometric progression, each term is obtained by multiplying the preceding term by a fixed, non-zero number called the common ratio.

Calculating the Common Ratio

The common ratio (r) between consecutive terms in a geometric progression can be found by dividing any term by its preceding term. If x, x+1, and 2x+4 form a geometric progression, then the common ratio between consecutive terms should be the same.

Let's calculate the common ratio using the given expressions: 1. x 2. x+1 3. 2x+4

The common ratio (r) can be calculated as follows: ``` Common ratio between (x+1) and x = (x+1) / x Common ratio between (2x+4) and (x+1) = (2x+4) / (x+1) ```

Solving for the Common Ratio

To find the common ratio, we can use the given expressions and calculate the ratios between consecutive terms.

Conclusion

Once we have the common ratio, we can determine if the expressions form a geometric progression and find the next term in the progression. Let's proceed with the calculations to find the common ratio and the next term in the progression.