1. **State the problem:**
Mr. Digma planted 5 rose plants in a row. Between these roses, he planted tulips, then between all existing plants he planted daffodils, then daisies, marigolds, and finally lilies, each time planting one plant in every space between existing plants. We need to find the total number of plants after all these steps.
2. **Understand the planting pattern:**
- Initially, there are 5 rose plants.
- Spaces between plants are where new plants are added.
- Each new type of plant is planted in every space between existing plants.
3. **Calculate the number of plants after each step:**
- Start: 5 roses.
- Spaces between 5 roses = 5 - 1 = 4.
- After planting tulips: total plants = 5 + 4 = 9.
4. **Next, plant daffodils between all existing plants:**
- Now total plants = 9.
- Spaces between 9 plants = 9 - 1 = 8.
- After planting daffodils: total plants = 9 + 8 = 17.
5. **Plant daisies next:**
- Total plants = 17.
- Spaces = 17 - 1 = 16.
- After daisies: total plants = 17 + 16 = 33.
6. **Plant marigolds:**
- Total plants = 33.
- Spaces = 33 - 1 = 32.
- After marigolds: total plants = 33 + 32 = 65.
7. **Finally, plant lilies:**
- Total plants = 65.
- Spaces = 65 - 1 = 64.
- After lilies: total plants = 65 + 64 = 129.
8. **Final answer:**
$$\boxed{129}$$ total plants in the row after all plantings.
Flower Powers 2E8Ac4
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.