What is a Pattern of Numbers with a Skip?

S1-SA5-0306

Grade Level:

Class 5

All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry

Definition

What is it?

A pattern of numbers with a skip is a sequence where numbers increase or decrease by a fixed amount each time, but some numbers in the sequence are left out or 'skipped'. You need to find the rule for how much is added or subtracted and how many numbers are skipped to continue the pattern.

Simple Example

Quick Example

Imagine you are counting your savings. On Monday you have ₹10, on Wednesday you have ₹20, and on Friday you have ₹30. Here, you are adding ₹10 each time, but you are skipping a day (Tuesday, Thursday). The pattern is +₹10 every two days.

Worked Example

Step-by-Step

Find the next two numbers in the pattern: 5, 10, 15, 20, ___, ___.

Step 1: Look at the first two numbers: 5 and 10. The difference is 10 - 5 = 5.
---Step 2: Look at the next pair: 10 and 15. The difference is 15 - 10 = 5.
---Step 3: Look at the next pair: 15 and 20. The difference is 20 - 15 = 5.
---Step 4: The pattern is to add 5 to the previous number. There are no skips in this particular pattern, it's a simple skip by 5.
---Step 5: To find the next number, add 5 to 20: 20 + 5 = 25.
---Step 6: To find the number after that, add 5 to 25: 25 + 5 = 30.
Answer: The next two numbers are 25 and 30.

Why It Matters

Understanding number patterns helps you predict outcomes and solve problems in many fields. Scientists use patterns to predict weather, economists use them to understand market trends, and even game developers use patterns for character movements. It's a fundamental skill for careers in data science and engineering.

Common Mistakes

MISTAKE: Only looking at the first jump and assuming it's the rule for the whole pattern. | CORRECTION: Always check at least two or three jumps in the sequence to confirm the rule before extending the pattern.

MISTAKE: Forgetting to consider if numbers are being subtracted instead of added. | CORRECTION: If the numbers are getting smaller, the pattern likely involves subtraction. Check the difference carefully.

MISTAKE: Not identifying the 'skip' correctly (e.g., thinking it's always 'add 2' when it's 'add 2, skip 1'). | CORRECTION: Pay attention to the position of the numbers in the sequence. Is every number present, or are some missing? This indicates a skip.

Practice Questions

Try It Yourself

QUESTION: What are the next two numbers in the pattern: 2, 4, 6, 8, ___, ___? | ANSWER: 10, 12

QUESTION: Find the next two numbers: 1, 5, 9, 13, ___, ___? | ANSWER: 17, 21

QUESTION: The auto-rickshaw meter shows these fares on different days: Day 1: ₹15, Day 3: ₹25, Day 5: ₹35. What would be the fare on Day 7 and Day 9 if this pattern continues? | ANSWER: Day 7: ₹45, Day 9: ₹55

MCQ

Quick Quiz

What is the next number in the pattern: 3, 7, 11, 15, ___?

The Correct Answer Is:

The pattern adds 4 to each number (3+4=7, 7+4=11, 11+4=15). So, 15 + 4 = 19. Options A, C, and D do not follow this rule.

Real World Connection

In the Real World

You see patterns with skips in many places! When you check cricket scores, sometimes you see totals after every 5 overs, not every single ball. Or when you track your mobile data usage, you might see your balance update every few hours, not every minute. These are examples of patterns with a skip in real life.

Key Vocabulary

Key Terms

PATTERN: A sequence of numbers or objects that follows a rule | SEQUENCE: An ordered list of numbers or items | SKIP: To miss or leave out numbers or positions in a pattern | RULE: The instruction that tells you how to get from one number to the next in a pattern

What's Next

What to Learn Next

Great job learning about number patterns with skips! Next, you can explore patterns with multiplication or division, or even patterns that involve two different rules. This will help you become a super problem-solver!