Math Problem Statement
Assuming a linear relationship, find the missing value in the table below.
| x | 1 | 2 | 3 | 4 | 5 |
|----|----|----|----|----|----|
| y | 9 | 12 | 15 | 18 | ? |
Solution
Let's analyze the pattern in the table:
x | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
y | 9 | 12 | 15 | 18 | ? |
Observing the y-values:
- 9 → 12 (increase by 3)
- 12 → 15 (increase by 3)
- 15 → 18 (increase by 3)
Since this follows a linear pattern, the next value should be:
Thus, the missing value in the table is 21.
Would you like a further breakdown of the solution?
Related Questions:
- How can you determine if a sequence follows a linear pattern?
- What is the general formula for a linear sequence?
- How can you find a missing value in an arithmetic sequence?
- How do you calculate the common difference in a linear pattern?
- Can you derive a formula to find any term in this sequence?
Tip:
For a linear sequence, the general formula is: where is the common difference, and is the y-intercept.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Relationships
Arithmetic Sequences
Formulas
y = mx + b
Arithmetic Sequence Formula: y = y_0 + (n-1) * d
Theorems
Linear Pattern
Common Difference
Suitable Grade Level
Grades 6-8