Math Problem Statement
Solution
The problem in the image states that the nth term of a sequence is given by the formula , and you are asked to complete the table for the first three terms of the sequence.
Here’s how to calculate the first three terms using the formula :
-
When :
-
When :
-
When :
Completed Table:
- Position , Term
- Position , Term
- Position , Term
Let me know if you would like further explanations or have any questions!
Here are 5 related questions:
- What would be the term when using the same formula?
- Can you find the 10th term of the sequence?
- What is the general form of an arithmetic sequence, and how does this one fit that pattern?
- How would the sequence change if the formula was instead of ?
- What type of sequence is generated by this formula? Is it arithmetic, geometric, or another type?
Tip: In an arithmetic sequence, the difference between consecutive terms remains constant. In this case, the difference between terms is .
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Math Problem Analysis
Mathematical Concepts
Sequences
Arithmetic sequences
Algebra
Formulas
nth term of a sequence = 8n
Theorems
Arithmetic sequences theorem (common difference is constant)
Suitable Grade Level
Grades 6-8
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