To solve the problem, we need to analyze each number pattern and determine the rule governing the sequence. Let's break it down step by step for each pattern.
---
Pattern 1:
Numbers: \( 10, 12, 14, 16, 18, 20, 22, 24 \)
-
Observation: The numbers are increasing.
-
Difference between consecutive terms:
\[
12 - 10 = 2, \quad 14 - 12 = 2, \quad 16 - 14 = 2, \quad \text{and so on.}
\]
The difference is consistently \( +2 \).
-
Starting point: The sequence starts at \( 10 \).
-
Ending point: The sequence ends at \( 24 \).
Answer:
We are counting
even numbers; by
2's; starting from
10 to
24.
---
Pattern 2:
Numbers: \( 95, 90, 85, 80, 75, 70, 65, 60 \)
-
Observation: The numbers are decreasing.
-
Difference between consecutive terms:
\[
90 - 95 = -5, \quad 85 - 90 = -5, \quad 80 - 85 = -5, \quad \text{and so on.}
\]
The difference is consistently \( -5 \).
-
Starting point: The sequence starts at \( 95 \).
-
Ending point: The sequence ends at \( 60 \).
Answer:
We are counting
by 5's; starting from
95 to
60.
---
Pattern 3:
Numbers: \( 27, 36, 45, 54, 63, 72, 81, 90 \)
-
Observation: The numbers are increasing.
-
Difference between consecutive terms:
\[
36 - 27 = 9, \quad 45 - 36 = 9, \quad 54 - 45 = 9, \quad \text{and so on.}
\]
The difference is consistently \( +9 \).
-
Starting point: The sequence starts at \( 27 \).
-
Ending point: The sequence ends at \( 90 \).
Answer:
We are counting
by 9's; starting from
27 to
90.
---
Pattern 4:
Numbers: \( 80, 70, 60, 50, 40, 30, 20, 10 \)
-
Observation: The numbers are decreasing.
-
Difference between consecutive terms:
\[
70 - 80 = -10, \quad 60 - 70 = -10, \quad 50 - 60 = -10, \quad \text{and so on.}
\]
The difference is consistently \( -10 \).
-
Starting point: The sequence starts at \( 80 \).
-
Ending point: The sequence ends at \( 10 \).
Answer:
We are counting
by 10's; starting from
80 to
10.
---
Final Answers:
1. We are counting
even numbers; by
2's; starting from
10 to
24.
2. We are counting
by 5's; starting from
95 to
60.
3. We are counting
by 9's; starting from
27 to
90.
4. We are counting
by 10's; starting from
80 to
10.
\[
\boxed{
\begin{array}{l}
\text{1. even numbers; by 2's; starting from 10 to 24} \\
\text{2. by 5's; starting from 95 to 60} \\
\text{3. by 9's; starting from 27 to 90} \\
\text{4. by 10's; starting from 80 to 10}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of number sequence worksheet 2nd grade.
