## Math Problem Statement

A progression has a first term of 12 and a fifth term of 18. Find the 13th term if the progression is geometric

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Geometric Progression

Exponents

Roots

### Formulas

General formula for the nth term of a geometric progression: a_n = a_1 * r^(n-1)

Common ratio formula: r^4 = a_5 / a_1

### Theorems

Properties of geometric progressions

### Suitable Grade Level

Grades 10-12

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