Math Problem Statement
Solution
The image shows a question asking to find the 13th term of the sequence:
1, 9, 17, 25, 33, ...
This is an arithmetic sequence where the first term and the common difference (since ).
The general formula for the -th term of an arithmetic sequence is:
Now let's find the 13th term ():
Thus, the 13th term is .
Would you like more details or explanations?
Here are 5 related questions to expand on this concept:
- What is the 20th term of this arithmetic sequence?
- How do you find the sum of the first 13 terms of this sequence?
- What happens if the common difference changes in an arithmetic sequence?
- Can you express this arithmetic sequence in a recursive form?
- How do arithmetic sequences apply in real-world situations?
Tip: Always check the common difference in arithmetic sequences to ensure you're using the correct pattern for finding terms!
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Algebra
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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