The image shows a section from "BAB 4 (Pemahaman tentang Deret dan Soal-soal latihan)" with exercises related to arithmetic series (deret aritmatika) and production calculations for a company.

Here’s a breakdown of the first two exercises in the image:

Problem 1:

A company produced 1,500 units in year 6 and 1,900 units in year 10. You are asked to calculate:

• a. Production in year 1: Find the production in year 1 assuming production changes arithmetically.
• b. Total production for the first 4 years: Calculate the total number of units produced in the first four years.

Problem 2:

The total production in the first 4 years is 4,500 units, and the company stops producing in year 7. You are asked to find:

• a. Production in year 1.
• **b. The annual increase or decrease in production.
• c. Production in year 4.

Would you like me to solve these questions or explain them further? Let me know!

Related Questions:

1. How is the formula for an arithmetic sequence used to find the first term or common difference?
2. How would the calculations change if production increased geometrically instead of arithmetically?
3. How can you calculate the sum of an arithmetic series?
4. What if the company had continued production beyond year 10?
5. Can these types of problems be modeled using real-world data, and how?

Tip:

Always verify if the progression is arithmetic (constant difference) or geometric (constant ratio) before proceeding with calculations!