Math Problem Statement
What is the next term of the arithmetic sequence? [-2,3,8,13,18,]
Solution
In an arithmetic sequence, the difference between consecutive terms is constant. This difference is called the common difference ().
Step 1: Find the Common Difference
Since the common difference is 5, the sequence follows the pattern of adding 5 to each term.
Step 2: Find the Next Term
Answer:
Would you like a general formula for the sequence? Let me know if you have any questions!
Related Questions:
- What is the general formula for the given arithmetic sequence?
- What is the 10th term of the sequence?
- How do you find the sum of the first 20 terms of this sequence?
- If the sequence continues, which term will be equal to 98?
- How do you determine if a given number is part of the sequence?
Tip:
To find any term in an arithmetic sequence, use the formula:
where is the first term, is the common difference, and is the term number.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequence
Common Difference
Sequence Patterns
Formulas
a_n = a_1 + (n-1) d
Theorems
Arithmetic Sequence Theorem
Suitable Grade Level
Grades 6-8