Math Problem Statement
2, 4, 6, 8, 10, 12, 14, ?
Solution
This sequence is an arithmetic sequence where the difference between consecutive terms is 2. To find the next term after 14:
Thus, the next number in the sequence is 16.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the general formula for an arithmetic sequence?
- How do you find the nth term of an arithmetic sequence?
- What is the sum of the first 10 terms of this sequence?
- Can you create a geometric sequence from a similar pattern?
- What happens if the common difference is a negative number?
Tip: In arithmetic sequences, the common difference stays the same between all consecutive terms, making it easy to predict future values.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequence
Sequences and Series
Formulas
Next term of an arithmetic sequence: a_n = a_(n-1) + d
Theorems
Arithmetic Sequence Formula
Suitable Grade Level
Grades 5-7
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