Math Problem Statement
What is the next term in the sequence below?
Solution
The given sequence starts as follows:
Let's analyze this sequence:
- The first term is .
- The second term is .
- The third term is .
- The fourth term is .
The pattern suggests that each term increases by . Therefore, the next term after would be:
Thus, the next term in the sequence is .
Would you like more details or have any further questions?
Here are 5 related questions to expand on this:
- What type of sequence is this, arithmetic or geometric?
- How do you find the nth term in an arithmetic sequence?
- What is the general form of an arithmetic progression?
- Can this sequence be modeled by a linear equation?
- How would the sequence change if the increment were ?
Tip: In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. Identifying this difference is key to predicting future terms.
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Math Problem Analysis
Mathematical Concepts
Sequences
Arithmetic Progression
Formulas
nth term of an arithmetic sequence: a_n = a_1 + (n-1)d
Theorems
Arithmetic Sequence Theorem
Suitable Grade Level
Grades 6-8
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