Help with Radicals: A pile driver pounds a steel column into the ground....

Codezzz

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(I don't know if there is a separate forum for pre-calculus, so feel free to correct me)

The Question:
A pile driver pounds a steel column into the ground. On the first drive, the column is pounded 1.55 meters into the ground, and on each successive drive it moves 75% as far as it did on the previous drive. The least number of drives required to drive the column a total of 5.2 meters into the ground is _____.

I don't need help so much with solving the question, but rather setting it up as a radical equation. (I'm sure this is really simple.:?)
 
(I don't know if there is a separate forum for pre-calculus, so feel free to correct me)

The Question:
A pile driver pounds a steel column into the ground. On the first drive, the column is pounded 1.55 meters into the ground, and on each successive drive it moves 75% as far as it did on the previous drive. The least number of drives required to drive the column a total of 5.2 meters into the ground is _____.

I don't need help so much with solving the question, but rather setting it up as a radical equation. (I'm sure this is really simple.:?)

This is a problem of geometric progression - where you need to calculate the number of terms given the sum, the first term and the common ratio.

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

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