The image shows a sequence of numbers: 99, 96, 93, ... followed by the text "Carilah rumus suku ke-n", which is in Indonesian and translates to "Find the formula for the nth term" in English.

Step-by-step solution:

1. The sequence provided is: 99, 96, 93, ...

2. Observing the differences between consecutive terms:

   • 99 - 96 = 3
   • 96 - 93 = 3 Hence, the sequence is an arithmetic sequence with a common difference $d = -3$.

3. The general formula for the nth term $a_n$ of an arithmetic sequence is: $a_n = a_1 + (n - 1) \cdot d$ Where:

   • $a_1$ is the first term (99),
   • $d$ is the common difference (-3).

4. Substituting the values: $a_n = 99 + (n - 1) \cdot (-3)$ Simplifying: $a_n = 99 - 3(n - 1)$ $a_n = 99 - 3n + 3$ $a_n = 102 - 3n$

Formula for the nth term:

$a_n = 102 - 3n$

Would you like more details on this or have any questions?

Related questions:

1. How do you find the sum of the first n terms of an arithmetic sequence?
2. What is the general form of an arithmetic progression?
3. How do you determine if a sequence is arithmetic or geometric?
4. Can you derive the formula for the sum of an arithmetic series?
5. How do arithmetic sequences apply in real-world problems?

Tip:

When dealing with arithmetic sequences, always check the difference between consecutive terms to identify the common difference easily!