Math Problem Statement
Add 12: 10, 22, 34, ___
Solution
The problem is to continue the sequence by adding 12 to each subsequent number. The sequence starts with:
10, 22, 34, ...
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Starting from 34, add 12:
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Continuing further:
The extended sequence is:
10, 22, 34, 46, 58, 70
Would you like a deeper explanation or have any questions?
Here are 5 related questions to explore:
- How can you generalize a formula for the nth term of this sequence?
- What kind of sequence is this, and how does it differ from a geometric sequence?
- How do you determine the sum of the first n terms of this sequence?
- How could this sequence be represented graphically?
- Can you identify real-world applications of arithmetic sequences like this?
Tip: In arithmetic sequences, the difference between consecutive terms (called the "common difference") is constant, making them predictable and easy to analyze.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Addition
Formulas
nth term of an arithmetic sequence: a_n = a_1 + (n-1)d
Theorems
Arithmetic Sequence Theorem
Suitable Grade Level
Grades 4-6