Math Problem Statement
next term in arithmetic sequence 10,4,-2,
Solution
This is an arithmetic sequence, where the difference between consecutive terms is constant. To find the common difference, subtract any term from the previous one:
Now, use the common difference of to find the next term:
Thus, the next term in the sequence is .
Would you like more details or have any questions?
Here are 5 related questions:
- What is the 10th term of this arithmetic sequence?
- How do you find the general formula for the -th term of an arithmetic sequence?
- What is the sum of the first 5 terms in this sequence?
- How can you identify if a sequence is arithmetic or geometric?
- Can the common difference of an arithmetic sequence ever change?
Tip: In an arithmetic sequence, the formula for the -th term is given by , where is the first term and is the common difference.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Common Difference
Sequences
Formulas
Common difference: d = a_n - a_{n-1}
Next term formula: a_{n+1} = a_n + d
Theorems
Arithmetic Sequence Theorem
Suitable Grade Level
Grades 6-8