https://file.aiquickdraw.com/mathbot/file/172698311678183zncnoq.jpg

The image shows a sequence of numbers:  
**120, 130, -260, -250, 500, 510, -1020**  
and a question asking for a pair of numbers from the options provided.

The options are:  
A) 490 dan -980  
B) 510 dan -1020  
C) -490 dan -980  
D) ±510 dan 1020  
E) 256 dan 80  

The likely task is to determine the next two terms in the sequence or identify a relationship between the numbers in the sequence and one of the options provided. 

Let's look at the differences between consecutive numbers in the sequence:

- 130 - 120 = 10  
- -260 - 130 = -390  
- -250 - (-260) = 10  
- 500 - (-250) = 750  
- 510 - 500 = 10  
- -1020 - 510 = -1530  

The pattern alternates between 10 and larger jumps (-390, 750, -1530), but always maintains a difference of 10 between two smaller numbers.

Given this, the most logical answer is **B) 510 and -1020** because -1020 is already the last number of the sequence.

Do you have any questions, or would you like more details?

Here are five relative questions for better understanding:
1. What is the significance of alternating patterns in number sequences?
2. How are arithmetic and geometric sequences different in terms of identifying patterns?
3. Can we predict future numbers in such sequences based on observed patterns?
4. How can we derive a formula to represent this sequence?
5. What are other examples of alternating number patterns?

**Tip:** Always look for consistent differences or ratios when analyzing sequences to detect patterns.

What are the next two terms in the sequence 120, 130, -260, -250, 500, 510, -1020, and which option matches them?

Learn how to identify the next terms in a sequence with alternating patterns. The problem involves recognizing arithmetic sequences and analyzing differences between consecutive terms. This is suitable for students in Grades 6-8.

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