Math Problem Statement
Solution
The problem you’ve uploaded shows a sequence of dot patterns where each pattern builds upon the previous one. You are asked to find out how many dots are added each time as the sequence progresses.
From the image:
- Pattern number 1 has 5 dots.
- Pattern number 3 has 13 dots.
- Pattern number 5 has 21 dots.
The number of dots in each pattern increases according to a specific rule. The differences between consecutive terms can help us identify this pattern:
-
From Pattern 1 (5 dots) to Pattern 3 (13 dots), the number of added dots is:
-
From Pattern 3 (13 dots) to Pattern 5 (21 dots), the number of added dots is:
So, it appears that 8 dots are added between each pattern in this sequence.
If you'd like, I can help explore further details about how this pattern is constructed, or if you have any questions, feel free to ask.
Would you like to explore more details, or do you have any questions?
Here are 5 related questions to think about:
- What would be the number of dots in Pattern 7?
- Can you derive a general formula for the number of dots in Pattern ?
- How many dots will there be in Pattern 10?
- Is the increase in the number of dots consistent between every pattern?
- What other shapes could be formed if you continue this sequence?
Tip: When working with sequences, looking for differences between terms often helps reveal the underlying pattern!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Sequences
Arithmetic Progression
Pattern Recognition
Formulas
Difference between terms in arithmetic sequence: a_n = a_1 + (n-1)d
Theorems
Arithmetic Progression
Suitable Grade Level
Grades 5-7
Related Recommendation
Finding the Common Difference in an Arithmetic Sequence
Finding the Number of Dots in a Pattern with Arithmetic Progression
Pattern Sequence Using Dots - Rule Identification and Completion
Arithmetic Pattern of Dots: Drawing and Verifying Sequences
Finding the Number of Dots in the 10th Pattern of an Arithmetic Sequence