Math Problem Statement
Solution
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:
- What is the significance of alternating patterns in number sequences?
- How are arithmetic and geometric sequences different in terms of identifying patterns?
- Can we predict future numbers in such sequences based on observed patterns?
- How can we derive a formula to represent this sequence?
- What are other examples of alternating number patterns?
Tip: Always look for consistent differences or ratios when analyzing sequences to detect patterns.
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Math Problem Analysis
Mathematical Concepts
Number Sequences
Pattern Recognition
Arithmetic Sequences
Formulas
Difference between consecutive terms in arithmetic sequences
Theorems
Arithmetic Progression (AP) formula
Suitable Grade Level
Grades 6-8
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